From 8430864bc465e22d2f4d44e92b11bdef7715f197 Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Mon, 13 Apr 2026 12:41:34 -0400 Subject: [PATCH 01/13] Restructure repetition-codes tutorial to match template format - Added Learning outcomes section with 3 key outcomes - Added Prerequisites section with platform content references - Reorganized content into Small-scale simulator example section - Changed Step 1-4 headers to subsections (###) - Added Large-scale hardware example section with consolidated workflow - Added job tagging (TUT-RC) for hardware execution - Added Next steps section with recommendations - Preserved all existing code functionality and cells --- docs/tutorials/repetition-codes.ipynb | 122 ++++++++++++++++++++++++-- 1 file changed, 117 insertions(+), 5 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 0213808d271..5e3fc6a064e 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -28,6 +28,33 @@ "For more information about QEC, refer to [Quantum Error Correction for Beginners](https://arxiv.org/abs/0905.2794)." ] }, + { + "cell_type": "markdown", + "id": "learning_outcomes", + "metadata": {}, + "source": [ + "## Learning outcomes\n", + "\n", + "After completing this tutorial, you can expect to understand the following information:\n", + "\n", + "- How to implement a bit-flip error correction code using dynamic circuits\n", + "- How to measure stabilizers to detect quantum errors without destroying encoded information\n", + "- How to evaluate the performance of quantum error correction by comparing corrected and uncorrected results\n" + ] + }, + { + "cell_type": "markdown", + "id": "prerequisites", + "metadata": {}, + "source": [ + "## Prerequisites\n", + "\n", + "It is recommended that you familiarize yourself with these topics:\n", + "\n", + "- [Dynamic circuits](/docs/guides/dynamic-circuits-basics)\n", + "- [Quantum error correction fundamentals](https://arxiv.org/abs/0905.2794)\n" + ] + }, { "cell_type": "markdown", "id": "88672bd6", @@ -75,12 +102,20 @@ "service = QiskitRuntimeService()" ] }, + { + "cell_type": "markdown", + "id": "simulator_section_6", + "metadata": {}, + "source": [ + "## Small-scale simulator example\n" + ] + }, { "cell_type": "markdown", "id": "4d01e8d3", "metadata": {}, "source": [ - "## Step 1. Map classical inputs to a quantum problem" + "### Step 1. Map classical inputs to a quantum problem" ] }, { @@ -241,7 +276,7 @@ "id": "609c0c47", "metadata": {}, "source": [ - "## Step 2. Optimize the problem for quantum execution\n", + "### Step 2. Optimize the problem for quantum execution\n", "\n", "To reduce the total job execution time, Qiskit primitives only accept circuits and observables that conforms to the instructions and connectivity supported by the target system (referred to as instruction set architecture (ISA) circuits and observables). [Learn more about transpilation](/docs/guides/transpile)." ] @@ -317,7 +352,7 @@ "id": "bcd61a1f", "metadata": {}, "source": [ - "## Step 3. Execute using Qiskit primitives" + "### Step 3. Execute using Qiskit primitives" ] }, { @@ -412,7 +447,7 @@ "id": "1b652319", "metadata": {}, "source": [ - "## Step 4. Post-process, return result in classical format\n", + "### Step 4. Post-process, return result in classical format\n", "\n", "You can see that the bit flip code detected and corrected many errors, resulting in fewer errors overall." ] @@ -503,6 +538,83 @@ "decode_result(corrected_data_result, corrected_syndrome_result)" ] }, + { + "cell_type": "markdown", + "id": "hardware_section", + "metadata": {}, + "source": [ + "## Large-scale hardware example\n", + "### Steps 1-4 compress into single code block\n", + "\n", + "Here we now put all of these details together into a singular workflow at a larger scale, which is then run on our real quantum hardware.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "hardware_code", + "metadata": {}, + "outputs": [], + "source": [ + "# -------------------------Step 1-------------------------\n", + "# Build error correction circuit\n", + "circuit = build_error_correction_sequence(apply_correction=True)\n", + "no_correction_circuit = build_error_correction_sequence(apply_correction=False)\n", + "\n", + "# -------------------------Step 2-------------------------\n", + "# Transpile circuits to ISA\n", + "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", + "\n", + "pm = generate_preset_pass_manager(backend=backend, optimization_level=1)\n", + "isa_circuit = pm.run(circuit)\n", + "isa_no_correction_circuit = pm.run(no_correction_circuit)\n", + "\n", + "# -------------------------Step 3-------------------------\n", + "# Execute on hardware with job tags\n", + "sampler_no_correction = Sampler(backend)\n", + "sampler_no_correction.options.environment.job_tags = [\"TUT-RC\"]\n", + "job_no_correction = sampler_no_correction.run([isa_no_correction_circuit], shots=1000)\n", + "result_no_correction = job_no_correction.result()[0]\n", + "\n", + "sampler_with_correction = Sampler(backend)\n", + "sampler_with_correction.options.environment.job_tags = [\"TUT-RC\"]\n", + "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)\n", + "result_with_correction = job_with_correction.result()[0]\n", + "\n", + "# -------------------------Step 4-------------------------\n", + "# Post-process and analyze results\n", + "data_result = result_no_correction.data.data.get_counts()\n", + "marginalized_syndrome_result = result_no_correction.data.syndrome.get_counts()\n", + "corrected_data_result = result_with_correction.data.data.get_counts()\n", + "corrected_syndrome_result = result_with_correction.data.syndrome.get_counts()\n", + "\n", + "print(f\"Data (no correction): {data_result}\")\n", + "print(f\"Syndrome (no correction): {marginalized_syndrome_result}\")\n", + "decode_result(data_result, marginalized_syndrome_result)\n", + "\n", + "print(f\"\\nData (corrected): {corrected_data_result}\")\n", + "print(f\"Syndrome (corrected): {corrected_syndrome_result}\")\n", + "decode_result(corrected_data_result, corrected_syndrome_result)\n" + ] + }, + { + "cell_type": "markdown", + "id": "next_steps", + "metadata": {}, + "source": [ + "## Next steps\n", + "\n", + "If you found this work interesting, you might be interested in the following material:\n", + "\n", + "\n", + "\n", + "- [Dynamic circuits guide](/docs/guides/dynamic-circuits-basics) - Learn more about dynamic circuit capabilities\n", + "- [Transpilation guide](/docs/guides/transpile) - Understand how to optimize circuits for quantum hardware\n", + "- [Error mitigation techniques](/docs/guides/error-mitigation-and-suppression-techniques) - Explore additional methods to improve quantum computation accuracy\n", + "\n", + "\n" + ] + }, { "cell_type": "markdown", "id": "b66026c4", @@ -538,4 +650,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} +} \ No newline at end of file From 5bc957353bd3ffc813ee1302831cfe0a3ca06fdf Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Mon, 13 Apr 2026 14:50:49 -0400 Subject: [PATCH 02/13] further cleanup --- docs/tutorials/repetition-codes.ipynb | 227 ++++++++------------------ 1 file changed, 69 insertions(+), 158 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 5e3fc6a064e..67f1e2b13f4 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -30,7 +30,7 @@ }, { "cell_type": "markdown", - "id": "learning_outcomes", + "id": "4048d4c9", "metadata": {}, "source": [ "## Learning outcomes\n", @@ -44,17 +44,30 @@ }, { "cell_type": "markdown", - "id": "prerequisites", + "id": "9012c057", "metadata": {}, "source": [ "## Prerequisites\n", "\n", "It is recommended that you familiarize yourself with these topics:\n", "\n", - "- [Dynamic circuits](/docs/guides/dynamic-circuits-basics)\n", + "- [Dynamic circuits](/docs/guides/classical-feedforward-and-control-flow)\n", "- [Quantum error correction fundamentals](https://arxiv.org/abs/0905.2794)\n" ] }, + { + "cell_type": "markdown", + "id": "0d182acd", + "metadata": {}, + "source": [ + "\n", + "## Background\n", + "\n", + "To enable real-time quantum error correction (QEC), you need to be able to dynamically control quantum program flow during execution so that quantum gates can be conditioned on measurement results. This tutorial runs the bit-flip code, which is a very simple form of QEC. It demonstrates a dynamic quantum circuit that can protect an encoded qubit from a single bit-flip error, and then evaluates the bit-flip code performance.\n", + "\n", + "You can exploit additional ancilla qubits and entanglement to measure *stabilizers* that do not transform encoded quantum information, while still informing you of some classes of errors that might have occurred. A quantum stabilizer code encodes $k$ logical qubits into $n$ physical qubits. Stabilizer codes critically focus on correcting a discrete error set with support from the Pauli group $\\Pi^n$." + ] + }, { "cell_type": "markdown", "id": "88672bd6", @@ -123,9 +136,11 @@ "id": "cdee0b18", "metadata": {}, "source": [ - "### Build a bit-flip stabilizer circuit\n", + "#### Build a bit-flip stabilizer circuit\n", + "\n", + "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state, and the remaining two are used as stabilizer measurement ancillas.\n", "\n", - "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state, and the remaining two are used as stabilizer measurement ancillas." + "Below you will build a circuit that (1) prepares the data qubits in the logical $|1 \\rangle$ state, (2) applies a cycle of error correction (including reset of the syndrome qubits), and (3) reads out the state of the data qubits." ] }, { @@ -142,12 +157,13 @@ " operational=True,\n", " simulator=False,\n", " dynamic_circuits=True,\n", - ")" + ")\n", + "print(backend.name)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "606dff18", "metadata": {}, "outputs": [], @@ -227,28 +243,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "dbe02949", "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "\"Output" + "
" ] }, - "execution_count": 5, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" - }, - { - "data": { - "text/plain": [ - "\"Output" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ @@ -276,7 +284,7 @@ "id": "609c0c47", "metadata": {}, "source": [ - "### Step 2. Optimize the problem for quantum execution\n", + "### Step 2. Optimize the problem for quantum hardware execution\n", "\n", "To reduce the total job execution time, Qiskit primitives only accept circuits and observables that conforms to the instructions and connectivity supported by the target system (referred to as instruction set architecture (ISA) circuits and observables). [Learn more about transpilation](/docs/guides/transpile)." ] @@ -291,12 +299,12 @@ } }, "source": [ - "### Generate ISA circuits" + "#### Generate ISA circuits" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 15, "id": "67b55eef", "metadata": { "slideshow": { @@ -306,28 +314,20 @@ "outputs": [ { "data": { + "image/png": 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xQ3PmzJGnp6eWLFmipk2bliwLCgrSRx99pE2bNik2Nlbvvvuuxo8fX6HttmnTRnXq1NHp06cVHx9fqURjSkqKjh07ZnU5VEx2tnWDIOfv6s3JyalwWSPqz83bTw0qUS4gKkZdl13+sk3fxm3V9esLV+TkpR7Swen3qtHI6QroePljT0UcP35cxXm2ebCPl8ldFf0DnNwcp2Mrd6jxn7opfoHlIoX6PSN1YmPsFcuZi4q1Zuw7uu3n19Tu4Vt0cut+7X53WaVjPp58XPlm213tVJk2YGT9S7ZtAwAAoPIaZp9TrauvVq7kEydVlGX8IzfoD9a8/qBRfUFnPSdkH6gaj7x8VepeDHePajOGQxuomtrmyg085xUW1bg2UF3qX6o+bcAjuKhS42qSlJmdo+Rq0gZqWl9AMmZ80Fn3AVcbH05NTa30+5JovMjhw5Z7+ps1a1bu8ry8PG3YsEFS6URj69atS8oXFhbKw6PsnzUhIaHUupJKJRnPOz81qy2+UN97773LfpaLbdmyRf369ZMkTZ48ucJJwIutXbtWZrNZrVq1KpVkPM/T01N9+vRRbGysNm/ebNW2PT09JUmFhYVWxyVJoaGhlSqHivH397dq/fMnkr6+vhUuGx4ebnVcVWXy8r36SlVUnHdOCa/cqaAet6v+rY9VeXsNGza06RVLquDFP/lnzylx6WpFPjCgpDMR1quDdr399VXLFmTlqCi/QO7enjr2321XvdLpShqGNbT5Fez2ZOv6l2zbBgAAQOX5Ka9S5cwFuQqtXUsKMn6qJPqDNa8/aFRf0FnPCdkHqsansHJ3Zpsz0wyp7/LQBqrG7VzlLprxzMuscW2gutS/VI3agIe3zEUFMrl7Wl3U35RXbdpATesLSMaMDzrrPuAK48PFxcVKTk6WJDVoUNnLA0g0lnK+s3v+mYuXWrhwoTIyMlS3bt1SB7vOnTvLy8tLeXl52rx5s6699toyZdesWSNJ6tmz5xVjWLVqlSQpMjKyUp/BWlu3blX//v115swZTZ48Wc8//3yltpOZmSnJ8hzLq7nc37c8J0+eLJlWpbJfMNYmNmGdTZs2WbV+bGysFi9erIEDB1a4nc+aNasSkVVNTqF0ww/2fY/0dV8pJ3GHco/FK33NF2WWt39nr7xCmlR4e/Hx++Vro6N6wblcLYoYVuH1k9fsUvRbj8vD30eF2bly9/ZSUd7VH0zUa+ajcvf2VHrcUUWNuVOJy9YqY3/lLrSI3x8vTz+fSpUtj73bgK3rX7JtGwAAAJV3Ike67RepyMrnk93a3EcvHq0eD6eiP1jz+oNG9QWd9ZyQfaBq4jOk+3+3vtwDPcI19n+ziRmNNlA1XyRK03dZX+79x+7SDS85frrk8ljTBqpD/UvVqw08u1lacdy6Mh4macO8aarjPc0+QVmppvUFJOPGB51xH3CF8eHs7GzVqmWZi+V8DqsyGI68SGhoqDIzM7V582Z169at1LKjR4/q2WeflSR17Nix1LKAgAD1799f33//vT788MMyicZVq1YpPj5eXl5euuOOOy77/seOHdNzzz2nP/3pT+rcubONPtWVzZ8/X+np6VVKMkoqeR5jfHy8jhw5oiZNSjf+wsJCrVy5UlLpuzqvZsaMGTKbzQoKClKPHhWbFx/VW8uWLfXzzz9X6Dmdzq5un+Gq26d6PHegqoryCpTyxx6F9+msM3FHlHHg6h2CyJED1LB3R2197XMd+madbl8xXdGzHtMPt02s8tVLNYEz1T8AACitvq90Y6j0W7J15QY3s0s4DkF/0Hqu2h901nNC9oHSWgdJHYOlnVbc1GaSdHfZSbJqDNpAabc2kt7ZK+VYMYNhmK90feVvqDEU9V/Wn5tZn2js11Cq422XcKolZ+oLsA9UjrO0ATejA6hOzk8fOnXqVMXHx5e8vn79et100006c+aMpNLTpp43adIkmUwmffLJJ/r0009LXk9ISNBDDz0kSfrrX/+q+vXrl/veWVlZuuOOO+Tp6alPPvmkSp/joYce0pQpU0o9D/JyZs6cqWXLllUpyShJN998s0JCQlRQUKAhQ4aUTBUrSRkZGRo1apT27dsnk8mkYcMuXAWxYsUKjR8/vtT6knTu3Dm9+OKLeu211yRJzz77rLy8vKoUI6oHDw8PBQcHlzvFMGq2oz9vUpMB3dWob1cd/WXLFdcNaNpAXScNVdqOBO16a6nOJhzXtte+UEiXVurw6O0OihgAAMB+/tpG8rOiy9u/odTh6qdw1Rr9QVSEM58Tsg+U9ng7ydOKkcf7WkiNrJuJt9qhDVxQy9PyXWiNJ9pL7lefLK3aov5L61JXirHiiVYBntLDVrYZVC/sA66LRONFxo8fr+DgYB09elTt27dXVFSUWrZsqeuuu05t27ZVdHS0pPITjddee62mTZsms9mskSNHqlmzZurcubMiIyN14MAB9ezZU9OmlX/Ld25uru644w4lJiZq+fLlatiwYZU+x/DhwzVp0iQFBQVddV03NzfdfnvVd1x/f38tWLBAvr6+Wr9+vdq0aaNWrVopKipKoaGhmjdvnkwmk6ZOnaouXbqUlMvOztarr76qli1bqmHDhurevbu6du2qevXq6fnnn5fZbNYjjzyiZ555psoxonpISkrSk08+qaRqMhUKbCfply0Kj+kkv9Bg5Z06e/kVTSZFv/mY3NzdtWbs2zIXWa5Q2vPBtzqxKU7XPHmvglo3clDUAAAA9hERKL3RQ6pVgVzKDQ2kyZ2lCjyJolqjP4iKcOZzQvaB0jrXlV7pKnlVYPTxtsbS39vbPyZ7ow2UNjRCerDV1ddzkzS+o+VutpqM+i/NZJJe6iJdF3L1dQM9pVk9pWa17B8X7Id9wHWRaLxIkyZNtHr1at1yyy3y8fHR4cOHFRISorlz52rZsmWKjY2VVH6iUZKeeeYZ/fTTT+rfv78yMjIUGxur1q1b6+WXX9bvv/8uPz+/MmUKCgp07733auPGjfrxxx/Vrl07u35Ge7r55pu1c+dOjR49WhEREUpKSlJcXJzq1aunwYMHa+XKlRo/fnypMl27dtWkSZPUt29feXl5ae/evdqzZ49CQkI0ZMgQ/fLLL/rggw8q9OxH1AxZWVlavXq1srKyjA4FNpaXnqUz8UnKOZlxxfXa//U2NejZVtumf6Ez8RcNLpjNWvP3d2Q2mxU9a4xMbnxFAQCAmq1rPWleb8sAunc5XZumtaSnOkjTu0ve7o6Pz9boD6IinPmckH2grJgw6eMbLHdtl3enWutA6flrpOeuqdl3sp1HGyjNZJIebSu93l3qXKec5ZJ61Zfeu94yzWZNR/2X5eMhvdFTGtdealzOHcvebtKdTaRPb5A6ldNGULOwD7gu55unoorat2+v77//vszrp0+fVnJysjw8PK6YDLz55pt18803V+i9iouLNXz4cK1YsUI//PCDUzyDsGXLlnrvvfcqvH7jxo01ZcoUO0YEwJESvlyl1A37Lrs8qFW4Oj8zRCc2x2nP+9+WWX72YLK2vrpYPSaPVIfH7tSut5baM1wAAAC7a1ZLer6zZTq4tanS5G2SWZbB1S/71Py7GC9FfxCujn2grMgg6ZVuUlqutO6ElFlgubiiTaBlymiOg6U5YxuICbP8HDgr7TwtnSuy3PHfrV7Nny73UtR/WR5u0v0RlumRt6RJh7KkgmKptpcU3UAK5GlZToV9wDWRaKygXbt2SZIiIyPl7W2bJ9I+9thj+uKLLzRx4sSSKUfPa9SokRo14vZgADXL/s9+veLyjP3HtLDF0Cuus/eD77T3g+9sGRYAAIDhantJtzaWXrgo0ehsg+sS/UGAfeDy6vlItzcxOgr7ow1cXstAy48zo/4vz80kdQ+x/MB5sQ+4JhKNFXQ+0Xi5aVMr44cffpAkvfzyy3r55ZdLLXv++ec1efJkm70XgOojfe2/dXbnb2r80Bs6+Pp9yj26V27efvKsHaomo9+Xd4NmRocIAAAAwI44JwAAwLXRF4AzIdFYQfZINB46dMhm2wJqipCQED3xxBMKCXHdy5fOrP+P6vQZIUkK+dMjCuw6UCaTSSe+f0eH33tErV9YbnCEsLXCrHTtHRul4vxcedVrJHNBnvJSDqpu35Fq+ugHRocHAAAAB3PlcwLOCQEAcO2+gKty5vFBEo0VdD7R2LFjR4MjAWq2unXraujQK98eX9Nd6UujySPvKCt2rZqO/URunl4K6nZLSTn/1tfqxDezjAscduNRK1h1et8vd//aChs8QRlbf1bq0ldrfCcCAAAA5eOc4PJc4ZwQAAD6AriUM48PkmisoHXr1hkdAuAUzp49q40bN6pHjx4KDHTOifmv9KVxdtty+UdeLzfPsk+6PvHdWwrqfpsBEcMRziVuV4Pb/2H5f8IW+Ta/xtiAAAAAYDecE1yeK5wTAgBAXwDlcdbxQTejAwDgWo4fP64JEybo+PHjRodiV+cSt8uvRWfL/y/60jiz4T8KvvauMusn/3uq8pL3K3z4y2WWwTnkJG6X3//awbmELSX/BwAAgHPinKB8rnJOCAAAfQFcylnHB0k0AoAdlPelYTablbHtZwV2GVhq3ZSvX9eZP5aq5XM/ys3bz4BoYW/5p45JJjd51gmTJOUc2infZlEGRwUAAAB74pwAAADXRl8AF3Pm8UESjQBgY5f70jgXv1G+jdrK3bdWybqpy2YqffVitXpxhTxq1TYoYtjbuYPbSl2h5O4XqJM/vGdcQAAAALArzgkAAHBt9AVwKWceH+QZjQBgY5f70nAPqKvaPe8seT0/LUlJHz8pr9AWip/UR5Jk8vBW29c3ODhi2Fvt7oNUu/ugkt/bztxiYDQAAACwN84JAABwbfQFcClnHh8k0QjAoby9vdWmTRt5e3sbHYrdXO5LY89j7dXgpf+WvO5Vr5G6LjM7PD4AAAAA9sU5weW5wjkhAAD0BeBKSDQCcKjmzZtrwYIFRodhiPbv7DE6BAAAAAAG4pzAtc8JAQCgLwBnxDM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"text/plain": [ - "\"Output" + "
" ] }, - "execution_count": 6, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" - }, - { - "data": { - "text/plain": [ - "\"Output" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", "\n", - "pm = generate_preset_pass_manager(backend=backend, optimization_level=1)\n", + "pm = generate_preset_pass_manager(backend=backend, optimization_level=3)\n", "isa_circuit = pm.run(circuit)\n", "\n", "isa_circuit.draw(\"mpl\", style=\"iqp\", idle_wires=False)" @@ -335,7 +335,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 16, "id": "67acea4f", "metadata": {}, "outputs": [], @@ -371,9 +371,19 @@ "outputs": [], "source": [ "sampler_no_correction = Sampler(backend)\n", + "sampler_no_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", "job_no_correction = sampler_no_correction.run(\n", " [isa_no_correction_circuit], shots=1000\n", - ")\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1bdb3596", + "metadata": {}, + "outputs": [], + "source": [ "result_no_correction = job_no_correction.result()[0]" ] }, @@ -389,57 +399,18 @@ "outputs": [], "source": [ "sampler_with_correction = Sampler(backend)\n", - "\n", - "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)\n", - "result_with_correction = job_with_correction.result()[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "1cba37f5", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Data (no correction):\n", - "{'111': 878, '011': 42, '110': 35, '101': 40, '100': 1, '001': 2, '000': 2}\n", - "Syndrome (no correction):\n", - "{'00': 942, '10': 33, '01': 22, '11': 3}\n" - ] - } - ], - "source": [ - "print(f\"Data (no correction):\\n{result_no_correction.data.data.get_counts()}\")\n", - "print(\n", - " f\"Syndrome (no correction):\\n{result_no_correction.data.syndrome.get_counts()}\"\n", - ")" + "sampler_with_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", + "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)" ] }, { "cell_type": "code", - "execution_count": 11, - "id": "7b7697f2", + "execution_count": null, + "id": "41c1df20", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Data (corrected):\n", - "{'111': 889, '110': 25, '000': 11, '011': 45, '101': 17, '010': 10, '001': 2, '100': 1}\n", - "Syndrome (corrected):\n", - "{'00': 929, '01': 39, '10': 20, '11': 12}\n" - ] - } - ], + "outputs": [], "source": [ - "print(f\"Data (corrected):\\n{result_with_correction.data.data.get_counts()}\")\n", - "print(\n", - " f\"Syndrome (corrected):\\n{result_with_correction.data.syndrome.get_counts()}\"\n", - ")" + "result_with_correction = job_with_correction.result()[0]" ] }, { @@ -447,14 +418,14 @@ "id": "1b652319", "metadata": {}, "source": [ - "### Step 4. Post-process, return result in classical format\n", + "### Step 4. Post-process and return result in desired classical format\n", "\n", "You can see that the bit flip code detected and corrected many errors, resulting in fewer errors overall." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 21, "id": "fa59fb42", "metadata": { "slideshow": { @@ -478,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 22, "id": "5b1ff3a3", "metadata": {}, "outputs": [ @@ -486,10 +457,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (no correction): {'111': 878, '011': 42, '110': 35, '101': 40, '100': 1, '001': 2, '000': 2}\n", - "Completed bit code experiment syndrome measurement counts (no correction): {'00': 942, '10': 33, '01': 22, '11': 3}\n", - "Bit flip errors were detected/corrected on 58/1000 trials.\n", - "A final parity error was detected on 120/1000 trials.\n" + "Completed bit code experiment data measurement counts (no correction): {'111': 933, '101': 19, '110': 12, '011': 19, '100': 2, '010': 7, '000': 7, '001': 1}\n", + "Completed bit code experiment syndrome measurement counts (no correction): {'00': 938, '01': 44, '10': 17, '11': 1}\n", + "Bit flip errors were detected/corrected on 62/1000 trials.\n", + "A final parity error was detected on 60/1000 trials.\n" ] } ], @@ -509,7 +480,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 23, "id": "7f1c2d48", "metadata": {}, "outputs": [ @@ -517,10 +488,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (corrected): {'111': 889, '110': 25, '000': 11, '011': 45, '101': 17, '010': 10, '001': 2, '100': 1}\n", - "Completed bit code experiment syndrome measurement counts (corrected): {'00': 929, '01': 39, '10': 20, '11': 12}\n", - "Bit flip errors were detected/corrected on 71/1000 trials.\n", - "A final parity error was detected on 100/1000 trials.\n" + "Completed bit code experiment data measurement counts (corrected): {'111': 908, '011': 12, '101': 44, '010': 8, '001': 2, '110': 13, '000': 12, '100': 1}\n", + "Completed bit code experiment syndrome measurement counts (corrected): {'00': 935, '10': 17, '01': 43, '11': 5}\n", + "Bit flip errors were detected/corrected on 65/1000 trials.\n", + "A final parity error was detected on 80/1000 trials.\n" ] } ], @@ -538,65 +509,6 @@ "decode_result(corrected_data_result, corrected_syndrome_result)" ] }, - { - "cell_type": "markdown", - "id": "hardware_section", - "metadata": {}, - "source": [ - "## Large-scale hardware example\n", - "### Steps 1-4 compress into single code block\n", - "\n", - "Here we now put all of these details together into a singular workflow at a larger scale, which is then run on our real quantum hardware.\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "hardware_code", - "metadata": {}, - "outputs": [], - "source": [ - "# -------------------------Step 1-------------------------\n", - "# Build error correction circuit\n", - "circuit = build_error_correction_sequence(apply_correction=True)\n", - "no_correction_circuit = build_error_correction_sequence(apply_correction=False)\n", - "\n", - "# -------------------------Step 2-------------------------\n", - "# Transpile circuits to ISA\n", - "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", - "\n", - "pm = generate_preset_pass_manager(backend=backend, optimization_level=1)\n", - "isa_circuit = pm.run(circuit)\n", - "isa_no_correction_circuit = pm.run(no_correction_circuit)\n", - "\n", - "# -------------------------Step 3-------------------------\n", - "# Execute on hardware with job tags\n", - "sampler_no_correction = Sampler(backend)\n", - "sampler_no_correction.options.environment.job_tags = [\"TUT-RC\"]\n", - "job_no_correction = sampler_no_correction.run([isa_no_correction_circuit], shots=1000)\n", - "result_no_correction = job_no_correction.result()[0]\n", - "\n", - "sampler_with_correction = Sampler(backend)\n", - "sampler_with_correction.options.environment.job_tags = [\"TUT-RC\"]\n", - "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)\n", - "result_with_correction = job_with_correction.result()[0]\n", - "\n", - "# -------------------------Step 4-------------------------\n", - "# Post-process and analyze results\n", - "data_result = result_no_correction.data.data.get_counts()\n", - "marginalized_syndrome_result = result_no_correction.data.syndrome.get_counts()\n", - "corrected_data_result = result_with_correction.data.data.get_counts()\n", - "corrected_syndrome_result = result_with_correction.data.syndrome.get_counts()\n", - "\n", - "print(f\"Data (no correction): {data_result}\")\n", - "print(f\"Syndrome (no correction): {marginalized_syndrome_result}\")\n", - "decode_result(data_result, marginalized_syndrome_result)\n", - "\n", - "print(f\"\\nData (corrected): {corrected_data_result}\")\n", - "print(f\"Syndrome (corrected): {corrected_syndrome_result}\")\n", - "decode_result(corrected_data_result, corrected_syndrome_result)\n" - ] - }, { "cell_type": "markdown", "id": "next_steps", @@ -608,9 +520,8 @@ "\n", "\n", "\n", - "- [Dynamic circuits guide](/docs/guides/dynamic-circuits-basics) - Learn more about dynamic circuit capabilities\n", - "- [Transpilation guide](/docs/guides/transpile) - Understand how to optimize circuits for quantum hardware\n", - "- [Error mitigation techniques](/docs/guides/error-mitigation-and-suppression-techniques) - Explore additional methods to improve quantum computation accuracy\n", + "- [Foundations of quantum error correction course](learning/courses/foundations-of-quantum-error-correction) - Learn more about quantum error correction\n", + "- [Low-overhead error detection with spacetime codes tutorial](docs/tutorials/ghz-spacetime-codes) - Learn how to use Pauli checks to detect errors and post-select samples\n", "\n", "\n" ] @@ -631,7 +542,7 @@ "metadata": { "celltoolbar": "Slideshow", "kernelspec": { - "display_name": "Python 3", + "display_name": "qiskit_plus", "language": "python", "name": "python3" }, @@ -645,9 +556,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3" + "version": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +} From cac29d7f0a594d1f7093c48385cb733a54262f56 Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Mon, 13 Apr 2026 14:59:19 -0400 Subject: [PATCH 03/13] further cleanup --- docs/tutorials/repetition-codes.ipynb | 66 ++++++++++++--------------- 1 file changed, 29 insertions(+), 37 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 67f1e2b13f4..dfcf3473fc4 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -163,7 +163,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 36, "id": "606dff18", "metadata": {}, "outputs": [], @@ -243,18 +243,18 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 37, "id": "dbe02949", "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] }, - "execution_count": 7, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -304,7 +304,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 38, "id": "67b55eef", "metadata": { "slideshow": { @@ -314,12 +314,12 @@ "outputs": [ { "data": { - "image/png": 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Xv5xGjar/2v5zn/uckBHYZAkaP+H999/PwIEDM2vWrFxwwQWZOXNmhg8fnlmzZuWqq67Kww8/nBEjRqRRo0bp3bt3XZe73u6555689tprOfTQQ9c7bPzpT3+aQqGQb33rW3nggQfy/vvvp7y8PM8++2w++9nPZvHixfnRj36Url27rtJ2yJAhueWWW3LsscfmpJNOWq86qHvFYnLD68nyEgbL/tfoZEHNg12hXunatWt+8Ytf1PizEADqO9dBgIZpxJuz85PfvJYj9t0uZ5+yawqF5ParD84WTRrljEuey/JSfoGwmWvo18L6dv6LFy/O9ddfnwULFiRJdt555/zkJz/Jrrvuuk79NW7cOM2aNUtlZfW/3F+yZImQEdhkCRo/4ZxzzsmUKVNy3nnn5Wc/+1nKysqq9v3oRz/KLrvskuXLl6dXr15p0aJFHVZaO2688cZ885vfzOTJk9c7bDz11FPzpz/9KZ06dcrJJ5+cjh07pnXr1jn00EMzZ86cPPDAA7n88stXabds2bKceeaZadasWX71q1+tx9mwqXjtg2T8/NLaLKxIHp+yYeqBTUlFRUXKy8tTUVFR16UAwEbnOgjQcP3kNyPyypj387Nz987NF+yXgwd0yuW3DM+ot+bUdWkbVUO/Fta387/nnnvy3nvvJVmxnNSFF16YVq1afUqr1XviiSdy++23V91fObLxiSeeqJplD2BTI2j8mDFjxuT+++/P1ltvnauuumqV/YVCoWraz9qYNnXq1Kk555xzcsABB6Rly5ZrPd3p2hozZkxGjBixxq/XXnstZ599dg466KD1DhuLxWImTJiQOXPmpFGjRunevXt69+6dZs2aZcKECfnv//7vTJ48eZV2P/3pTzN69OhccsklNa7vuD6KxWIWLFiQBQsW1MpalKydx6Zu3HawOXnrrbdy+OGHV1scHgAaCtdBgIaroqKYMy55Lk0aN8o5p+6ef77+bq77/et1XdZG19CvhfXp/N9444387W9/S5I0a9Ys55xzznoNTPlkyPiFL3whp5xySpIVv+O85ZZbsny56cCATU+Tui5gU3L33XensrIyX/3qV1c7T3izZs2S1E7QOH78+Nx///0ZMGBADjnkkDzxxBPr3efHffazny25zeTJk/Ptb387Tz75ZMltv/Od7+TWW2/NPvvsk7/97W/p2bNnkmTu3LkZNGhQ7rrrrhx44IEZM2ZMWrdunSQZO3Zs1XQCP/jBD0p+zE+zcOHCqlGp22677Srzm7NhbPWd29O8z5EltxsxYVq6fHnfDVARbDj//u//XtLx7777bpLk8ccfzyuvvLJWbT7/+c+XXBcAbCylXAvX5TqYuBYCG88xW7XLf3f/aMrDtye8nSO6dKnDiupOZbZI2l1Sq33OK1+aJUsr0qxp4zzx4tRUVtbuH4X37NUrjbKsxn17tCzLn3b56Pd5CxYsTO9aem4b+rWwvp5/06ZNc+211652/6OPPlp1+8tf/vJar8dYk5pCxpNOOinFYjFDhw7NW2+9lZkzZ+Zf//pXDjjggNX206tXryxdunSd6wAark6dOmXYsGHr1FbQ+DH/+Mc/kiSHHXbYao+ZOnXFkKvaCBoPPvjgzJo1K0ly++2313rQeNxxx631wspvvvlmRo8enSQ54ogjSn6s1157Lbfddlu22GKLPPDAA9lhhx2q9m255Zb5n//5nwwdOjRvvvlmfvWrX+XCCy9MsiKcXLJkSW655ZZsscUWJT9uKWbMmLFB++cjzRctSvN1aLd82bJMmzat1uuBDWnlOgxra9GiRVX/rm1b7wsANmWlXAvX5TqYuBYCG88HFUk+NtnS8uUN+HNqoWnSrna7/N2V/5bmzRpn9Pg5+eHX++a+x9/OmxPn1lr/M6ZPT4o1hyzbbdUu2eWj+8ViZa09tw39Wlhfz3/lgJOavPvuuxkxYkSSpEOHDjn66KPX+XFWFzIWCoUUCoWccsopVbPvPfnkk2sMGqdPn54lS5ascy0A60LQ+DHvvPNOkqRbt2417l+yZEn++c9/JqmdoHFDj6779a9/vdpz+bhXXnklRx65YvTZ5ZdfXhUCluLFF19MsVhMz549q4WMK22xxRY57LDD8uabb1ZLxYcPH55GjRrl5JNPXqVNeXl5kuSll16q+ougcePGpU2bNiXXlxjRuDFtsfD9dWpXmDsjnTt3ruVqYMMqde2FlR+kWrRosdZtvS8A2JSVci1cl+tg4loIbDzttqqerDVpskWD/RlUmS1Sm3+y/d2Td82R+3XOj3/5Sh7428SMeOBzuf3qg3PAaX+ptZGN22633WpHNG7dsqza/UKhUa09tw39Wlhfz79p06ar3ff0009XLdN0xBFHrPPvHNcUMq602267Zbvttsv06dPzxhtvZPr06dluu+1q7G+77bYzohFYJ+szKlvQ+DErL3SLFy+ucf8f/vCHzJ07N+3bt9+kL+6lGD58eI466qh8+OGHufzyy3PZZZetUz/z589PkmoXwdX55Pe3srKyamRnTZYtW1a1v7Kycp3qS1bMAb8+izGz9t78MPnqc6W3u+bk/TPw+xZqZPMydOjQko5/8803c++99+a4447LLrvs8ukNktx8883rUBkAbBylXAvX5TqYuBYCG0/lS/9MxU8HV93vvlP3TP3bo2toUX8tWLgsZfvdWSt9de/SOj87d+8MG/1erv2f11JRUcyPf/VKbjh/3/zga33ys9+NrJXHeWvcuLRqWfOMWZVj30rFDz6aCrZVq5ZVM5etr4Z+Layv5798+fI89NBDNe4bO3Zs1e2DDz54nfpfm5AxWfH71kMOOST33ntvkhUDMVYXNI4bNy5NmviVP7BxGd71MSsT25rmoZ0yZUouuuiiJEnfvn03al0b0p133pk5c+asV8iYpGo9xnHjxmXy5Mmr7F++fHmeeeaZJCvmCl/pww8/TLFYrPFrZT2HHHJI1batttpqnWtk49llq6RP29LabNk0Oarm/yNBvdKjR4/89a9/TY8ePeq6FADY6FwHARqeQiG5/eqD06RxIWdc8lwqKlaMAht856i8NGJWLv9O/+zafau6LXIjaujXwvpw/pWVlZk4cWKSpF27dmnfvn3JfaxtyLjSx79fb7/9dsmPB7AhCRo/ZuX0oddcc03GjRtXtX3IkCE5/PDD8+GHHyapnWlTN6RvfvObueqqq9K27acnPYMHD84jjzyyXiFjkhxzzDHp2LFjli1blpNPPjkTJkyo2jd37tx861vfyhtvvJFCoZCvfvWr6/VYbB4u7Ju0bLx2xxaS/Khv0mwtj4fNWZMmTdK2bVt/YQhAg+Q6CNDwnHd67/zbnp1y6a+HZ8yED6u2F4vJ1378XCork9uvOjiNGn36LFn1QUO/FtaH83/vvfeq1prccccdS25fasj4ycdZufwXwKZC0PgxF154Ydq2bZspU6Zk9913T58+fdKjR4/sv//+2XXXXXPQQQclqTlofPHFF9OhQ4eqr/vuuy/JiiDv49tffPHFDX4ep512Wi655JJsueWWn3pso0aNcsIJJ6z3Y7Zq1Sp33XVXWrRokSFDhmTnnXdOz54906dPn3Tq1Cm33357CoVCrrnmmuy5557r/Xhs+nbeMvn5fkmbmmcsqdKkkFzRPzncaEYaiKlTp+b888+vtSl6AGBz4joI0LDssuOWuersAXn5tXdz4x2jVtn/1jvzcskvX8k+fTrmh9+oPzOIrUlDvxbWh/NfuHBh1e127dqt4chVrUvImCQtW7ZM8+bNk3y0/BfApmLz/dORDaBr1655/vnnc8EFF+S5557LO++8k9133z0XXXRRvvGNb1Sty1hT0Lhs2bLMnj17le2LFi2q+guXlcfVV8ccc0xGjhyZwYMH5x//+EcmT56cioqKbLPNNtl///3zn//5n+s8Zzmbpz3aJ/cfljw8KfnTO8n7S6rv/9KOyUndkh1b10V1UDfKy8vz/PPP51vf+lZdlwIAG53rIEDD8ubEuWm5zx1rPOamu0blprtWDSHrq4Z+LawP57/ddtvlmmuuydKlS9OmTZu1brd8+fI899xzVffXNmRc6Yc//GEaN26cli1bllwzwIYkaPyE3XffPY899tgq2z/44IPMmDEjTZo0yW677bbK/kMPPTTFYnFjlLhJ69GjR37961/XSl+XX355Lr/88lrpi7rTsXnyH7sk3+yVjJ+XnPZcUsyK6VIv6FPX1QEAAADA2mvWrFm6d+9ecrsmTZrk4osvzk9+8pP079+/pJAxSXbdddeSHxNgYxA0rqXXX389SbLLLrukWbNmtdbvgw8+mCQZNmxYkuTxxx9Px44d061bt+y111619jhQ15o0SnbZakXAuDJoBAAAAICGoqysLFdccUW22GKLkkJGgE2ZoHEtrQwaa5o2dX2cdNJJ1e5/97vfTZKcccYZ1ebrBgAAAABg89a0adO6LgGgVgka19KGChpNtwrQsHTs2DHf+9730rFjx7ouBQA2OtdBABq6hn4tbOjnD1AfCRrX0sqgsW/fvnVcCQCbs/bt2+fUU0+t6zIAoE64DgLQ0DX0a2FDP3+A+qhRXRewuXjppZdSLBZzzDHH1HUpAGzG5s2bl7///e+ZN29eXZcCABud6yAADV1DvxY29PMHqI8EjQCwEU2fPj0XX3xxpk+fXtelAMBG5zoIQEPX0K+FDf38AeojQSMAAAAAAABQMkEjAAAAAAAAUDJBIwAAAAAAAFAyQSMAbETNmjXLzjvvnGbNmtV1KQCw0bkOAtDQNfRrYUM/f4D6qEldFwAADcmOO+6Yu+66q67LAIA64ToIQEPX0K+FDf38AeojIxoBAAAAAACAkgkaAWAjGjt2bA488MCMHTu2rksBgI3OdRDY7BTrugBqTXHTeDIb+rWwoZ8/QH0kaASAjahYLGbZsmUpbiIfcgFgY3IdBDZ5zZpWv794cd3UQe375HNZR2sENvRrYUM/f4D6yBqNAAAAAJAkrVtXv//BnBTfn51Ch/Z1U08datmiScqHnF7XZZSkZYvV/6qz+NaE6hvKyjZwNWzuGjdunC9+8Yu11t/1t96f+QsWpHWrVvnBf5y8yv3a0Lhx41rpB6AUgkYAAAAASFLYsVvSqmWyYGHVtsqnn0vjkz5fd0XVkUKhkFYtt6jrMmpFcfnyVD73YrVtjfrsXkfVsLkoFApp0qT2fn1eTFJZXPFvkyZNVrkPsLkydSoAAAD/P3v3HV9Flf9//D03Nz0hBAgmhF5CkBp6E4OIgKJgxa9URdxVd3XVFRVQUUBxEWXXtiIqgohi+4EddUWKIr0TAkgnAQKpENLu/P7AREISSLm5k9z7ej4eeeg9M3Pmc8jNfJL7mXMGACDJ8LbL6Nq5UJtjwUfK+39fykxLtygqlJdpmjL3HVDe9JelA4cKbTN6dbcoKgAA3Au3SgAA4EKNGzfWwoULFRkZaXUoAAC4HHkQQHVg691DeT8t/7PBYcrxznw53vtAioyQ4e8vGYZ1AaJ08vJkpqRKJ5KKbgsJkdGmletjErnQ08cPAO6IQiMAAC7k5+enZs2aWR0GAACWIA8CqA6MzjGyDR4ox5ffFt6QlycdPCzTmrDgLL6+8hr/oAyLnmXn6bnQ08cPAO6IpVMBAHChhIQETZ06VQkJCVaHAgCAy5EHAVQHhmHINm6MbIMHWh0KnM3XV15PPWbp8xk9PRd6+vgBwB1RaAQAwIVSU1O1ZMkSpaamWh0KAAAuRx4EUF3kFxu9xv9DRs9uko+P1SGhIsLqyDbkOtlfnGppkVEiF3r6+AHAHbF0KgAAAAAAAHABwzBk9O4hW+8eeuXdT5WemqZgu5fuj4rUa3GHlZ6bq2C7XfdH17c6VBTHsEmBAVJYHRnNm8rguZoAAFQKCo0AAAAAAADARaSfOau0rBzJ20e2a/opffcCpWVmSb5+sl3Tz+rwAAAALMPSqQAAAAAAAAAAAADKjBmNAAC4kM1mU0xMjGw27vUBAHge8iAAwB116dKl1PvWr19fTz/9tK6++mpFRERUYlSu4+njBwBPR6ERAAAXcjgc2rhxoxwOh9WhAADgcuRBAICni4iI0OTJk60OwzKePn4AcEcUGgEAAABckmma0plM6cwZq0NBafn6SIGBMry8rI4EAAAAAOCmKDQCAAAAKJaZkytz81Y5Vv4q87d10unTVoeEsrLZZLRrI1vv7jK6d5VRI9jqiAAAAAAAboRCIwAAAIAizKSTyp34rJSQaHUoqAiHQ+amLcrbtEX67zvyeuJh2bp0sjoqAAAAAICbsFkdAAAAniQ4OFgDBw5UcDAzSgBUXRQZ3VRurvKef0mOtestC4E8CAAAAADuhUIjAAAuFBkZqWeffVaRkZFWhwIAxTJNU7nPPE+R0V39UWw0Dx+x5PTkQQAAAABwLyydCgCAC2VlZen48eOqW7eufH19rQ4HAIrau086cKhwW/hlsl03QLbOMVJIiOTlZU1sKD3TlDIzZe7cJcfS/8nctOXPbbm5ciz/RV533OrysMiDAAAAAOBeKDQCAOBC+/bt06hRozRv3jxFR0dbHQ4AFOFY+Wvhhlqhsk9/RkatUGsCQvkF+Mvo3UNGj27K+9fLMn9dU7DJsepXSwqN5EEAAAAAcC8UGgGgGKZpKjczy+owysTu7yvDMJzSl2lKZ/Oc0pXL+HlJThq+R6mO73WUnTOvD3B/jrUbCr229e3jkUVG0zR1JjPX6jDKJMDfXuzPuuFlk23oYOWdV2jUoSMyE4/JCL/MhRECAAAAANwNhUYAKEZuZpYWNBthdRhlMnzv+/IO8HNKX2fzpCu+dkpXLrPiWsmfrFZm1fG9jrJz5vUBHiA5udBLo0NbiwKx1pnMXAV1n2d1GGWSsXqUAgO8i91mtGwh+flKZ/+8ucQ8lUyhEQAAAABQITarAwAAAABQhZzJLPTSCApySrcrV65Ur169VKNGDRmGoVmzZjmlX5SOYbNJgYGFGzMzi98ZAAAAAIBSYu4HAAAAgJLZyrbsbmxsrFavXq2zZ88WtKWkpGjIkCGqV6+eZsyYocDAQHXu3NnZkeJSbBfcZ2paEwYAAAAAwH1QaAQAwIWio6O1Zs2aS+8IAG5kzZo1OnXqlObMmaMbb7zR6nBgIfIgAAAAALgXlk4FAAAAUKkSExMlSaGhoRZHAgAAAAAAnIlCIwAALnTgwAHdddddOnDggNWhAIBLNG7cWKNHj5Yk9e3bV4ZhyDDKthwr3Ad5EAAAAADcC0unAgDgQpmZmdq2bZsyMzOtDgUAXGLWrFn65ptvNHv2bE2YMEGtWrWyOiRYiDwIAAAAAO6FQiMAAACASjN06FClpKRo9uzZ6t+/v2JjY60OCQAAAAAAOAlLpwIAAAAAAAAAAAAoM2Y0AgCcJn3rMsVP6luozeYXKN96UaodO1J1B/9dhhepBwAAAAAAAADcAZ/2AgCcLrT3MIV0GSyZpnKSE3Vy2TwdfudhnT28U43un211eJaKiIjQM888o4iICKtDAQDA5ciDAAAAAOBeKDQCAJwuoEkH1Y4dUfA67Nr7tP3+Vkr6fo7qjZgm75AwC6OzVkhIiAYNGmR1GAAAWII8CAAAAADuhUKjky1dulQvvfSS1q5dq8zMTDVr1kx33HGHHnnkEfn4+FgdXqVLSkrSjBkz9PXXX+v3339Xbm6uIiIi1KdPHz388MPq0KFDkWPGjBmj995776L97ty5U9HR0ZUUNVB5arVtohuWznBaf3MjbnFaX67k5ReowKhuSvnlkLIS93p0oTE5OVk//PCDrr76aoWGhlodDgAALkUeBAAAAAD3QqHRiWbOnKl//vOfkqRGjRqpYcOG2rZtmyZMmKAvvvhCP/74o/z9/S2OsvLs2rVLsbGxSkxMlN1uV9OmTeXn56c9e/Zo/vz5Wrhwod5//30NGzas2ONbtGihunXrFrstICCgMkMHKk39fh21IGqUctLPWB2K5bIS90qS7MG1LY7EWseOHdOMGTPUtm1bPmAFAHgc8iAAAAAAuBcKjU6yZs0aPfroozIMQ++8847GjBkjSdq7d68GDhyoX3/9VU888YRmzZplaZyV6d5771ViYqK6du2qRYsWqVGjRpKktLQ0Pfjgg5o7d67GjRungQMHKiQkpMjxEyZMKPh3A9yFT41AjywyOrLOKDctSaZpKjc5USe+/a8yf9+ogBZd5FevhdXhAQAAAAAAAACcwGZ1AO5iypQpMk1Td955Z6FiWbNmzfT2229Lkt544w0dP37coggrV3p6upYtWybp3Djzi4ySVKNGDc2ePVuhoaFKT0/X8uXLLYrSGpm50v87II1aLvX5SurxpXTtUmnmNml/htXRVT7TlDadlCatl/p9Kzn+aHdI+jlRyjOtjK5yBUbWUcbhE1aHYYmERVO0eWSYtoyqqx0PttOJb15XzW5D1XziEqtDQzk1GdpLg797QSN+X6Dbt7+jPq//Q4H161gdFoAqaNmyZTp79myhtjFjxsg0TcXGxloTlIWmPdBJ5paxunNo8TfafPffgcpef6diWnn2jH8AAAAAQPVEobEESUlJ+uc//6lmzZrJz89PDRo00COPPKLMzEyNGDFChmFozpw5ks4V2ZYuXSpJGjduXJG++vTpo6ioKGVnZ2vJkqr3IbtpVrzSk52dXdBP06ZNi2z39vZWgwYNJEm5ubkVPl918ctx6brvpambpR0p0pk8KcchHT8rLfxduuV/0rObzrW5o5Qs6S+/SHevkr49IqVmF97+yBrp1v9J+9Otia+yNejfWYeXrrM6DEvUvnqsWjzzvZo//Y0ix8yQV3Bt5aQck83nz+Wj07ev0MZhQUW+Ntzso/U3elkYPS4UfedAXfnGQ8o7m621k9/Tjre+Ur0r2+naJdPkfxnL3gHAxUx+faO2xJ/Sy492V4PwwELb/npbtK7pGalpczZp486TFkUIAAAAAED5UWgsxpYtW9SmTRvNnDlTx44d0+WXX67s7Gy99NJLGjFihHbt2iVJat++vSRp48aNys7Olq+vrzp37lxsn71795YkrV69utLjj42NlWEY2r9//yX3XbdunWJiYrRv374KnbN27dqqX7++JGnVqlVFth8/flzx8fGy2+3q1KlTsX188sknGjp0qK666irddttteumll3TiRPWdDbbymPSP36S0nIvvt+SgNGGd+83sS8uW7vlF2nCJz8wOnpbGrpQOuOHszqCGdYvMaOz4xB0ak/CJmt9+VbHH9P/wSY06+KFqtW3iihArjV9Ec9XocLVCOg5U+I3/VPMnv9Tp3b/pwH/vLdgnuPUVivkoo9BX69fjZQ+uo3p3TLEw+soVEBCgbt26VZtnz/qGBqnThOFK2rJX3970tHbNW6otsz7V93dMU8BloYp5tPjn7gIAzsnJdWj0pOXy9/PSu1P6FLQ3iQzWjIe7asPOJE17a5N1AbpYdcuDAAAAAICLo9B4gaSkJA0ePFjHjh3T+PHjlZiYqA0bNujYsWOaMmWKPvvsM23atEk2m01t2rSRJMXHx0uSGjVqJLu9+MdeNmvWrNC+VcUHH3ygzZs3KzY2tsLFxunTp8swDI0bN06LFi1SUlKSMjIy9PPPP+u6667T2bNnNXHiRDVs2LDY47/66istXrxYP/30kz7++GM98sgjatKkid5///0KxWWFlCzpiXWSo5TFw58Sz81wdCcvbJV+L+VMxdQc6bG155ZZdRf2QD9lF/Nsxk0vLtKpHQfU9ZnRCowsvOxky1HXKPLK9try7890amvFfh6rmqCW3VXryhFKXr5QGbuKv+HCkZOl36ffpKDLeyvi1gkujtB1GjZsqFdeeaXEa2FV02BAV3kH+WvnnK9l5v05/frk5r06tnqnGt/QUzZvHvkMABezKe6kpr21Wf261dP9t7eSYUhzp/aRt92m0ZOWKzfXjX4JuoTqlgcBAAAAABdHofECDzzwgA4dOqSHH35YL7zwgoKCggq2TZw4UdHR0crNzVVUVJT8/c8tAZicnCxJCg0tefm4/G35+1YVM2fO1NixY3Xw4MEKFxuHDx+uzz//XOHh4Ro2bJjCwsIUHBys2NhYJScna9GiRZo8eXKR45o2baqpU6dq06ZNSklJ0enTp7V8+XL1799fp0+f1qhRo/TVV19VYJSut/iglJlXtmM+3lf6wmRVd+Ks9MPRsh2zJ11a70YrhtW/KkZH/rexSLsjJ1crH3xVXn4+6vXy/QXtQQ3rqvNTI3Vy6+/a/O9PXRmqy0QMe1KyeenogieL3X7w9b/KkXNWjR+c69rAXCwvL08ZGRnKyyvjRcIiYTHNJUnH1+0qsu34ul3yCQ5QSPNIV4cFANXOtLc2af2OJL3wUBfNGt9dfTqFa/IbG7Rtd9X6+6CyVbc8CAAAAAC4OAqN59mxY4c++ugj1a1bV1OmFF22zzCMgmU/85dNlaSzZ89Kknx8fErs29fXV5KUmZlZ0PbJJ5/o5ptvVqNGjRQQEKDo6GhNnDhRGRnOWUNyx44d2rRp00W/Nm/erPvvv1+9e/eucLHRNE3t3btXycnJstlsatq0qdq0aSNfX1/t3btX//3vf3Xw4MEixz311FOaOHGi2rdvr5CQEAUEBOiKK67Qt99+qyFDhsg0TT300ENOeZakK5im9NmBsh935Iz063Hnx2OFxQfKtxTsx9V0Ep9PjaJLf9Vu10wnN+8tdv9T2/Zpy78/U70r2ir6zoGSYaj3v/8mm92uFQ+8KjPXPT9484torlpX3K70zT8offuKQtuOf/Efpa77Us2e+H+y+br3Umq7d+/WVVddpd27d1sdSqkEhNeSJJ1JOFVk2+mj5+4OCIio5dKYAKA6ysszNXrSctm9bHpgeGv9tvW4/vXuVqvDcrnqlgcBAAAAABfHWmfnWbBggRwOh0aMGFHiM0PyC4bnFxr9/PwkSdnZ2SX2nZWVJUkFsyAl6cUXX1TDhg313HPPqX79+tq4caOeeeYZLVu2TCtWrJDNVrE68HXXXVfmYw4ePKh77rlH33//fZmPvffee/Xmm2+qa9euWrp0qVq0aCFJSk1N1d///nfNnz9fvXr10o4dOxQcHHzJ/mw2m1544QUtXrxYu3fv1rZt29S2bdsyx5WvRYsWFf43LQ3Dv4Yum7mjXMfeNeF5nf7uNSdH5Ho173lLfh0Glfm47zbv04Ibr6iEiMrO27TpaXW95H6RV8Xoilf+rsVXPaLMY+dmJBg2m0yH46LHbfn3p2owoLM6TRqhGk3rKbz75Vr/3AKlxBUtxpdWVIso5RgXP29pGT7+umyW8z8ADL91ok6tWKijHzylltN+kiSlb/lJh+c9phZPfi3fyxqXu++oqBYyszMvvaOT3XLLLWXa//jxc3cUfPPNN1q/fn2pjrnxxhvLHFdpXeq97uV/Lu/lZRV94Gx+m/2PfVB1OfP6APe3O6an7IZR8Pqaa67Rzsyiy4G7O4e8pVqTnNpnWka2srLz5OvjpW9XHZbDyctZtIiKkk0lPyB8ZetOivT1K3g9atQoLUur+IzKsuTC8uRBqXJzIQCUxo13/kOBQTWUkJig+vXrF3kNAJfCdQRAVRYeHq5169aV61gKjef58ccfJUl9+/YtcZ/Dhw9LKlxoLM2yqMUtr/rFF18oLCys4PWVV16pOnXqaOTIkVq5cqX69OlTjlH8adCgQSUWTC8UFxen7du3S5L69etX5nNt3rxZs2fPlre3txYtWqRGjRoVbAsJCdHbb7+ttWvXKi4uTq+99poef/zxUvXbsmVL1apVS6dOnVJ8fHyFCo0JCQnlPrYs7KF5uqycx2aczdXRI0ecGo8V/PMkv0vvVoTD5q0jVWT8PoaXSvONPLFul44s26wG13RW/PxzBfq63aJ1fE3cRY8z8xxa+cCruv67f+nyu6/ViQ27te21xRWK+WjCUWWbzpkNafMNKNf7OLhtrDotLvlDU/8GrdTp8z9jzDq2X7/PuE31x8xQcLuSr72lcfToUTmyXP9B+OnTp8u0f/7M9szMzFIfW5k/F5d6r+dlnrtRxsvXW3lnC99QY/c7N5M/9499UHU58/oAD9DBlM4rNB4/flxH0lItDMgiho/k5Anb7zx7hfx8vbR9T7Ieu7OdPvzmd8Xtc96/bcLRo5JZ8s2PudEdCr0+eTJJR44nVvi8ZcmF5cmDUuXmQgAoDccfSz478vJ05MiRIq8B4FK4jgBwVxQaz3PgwLn1Lhs3blzs9qysLP3222+SChcao6KiCo7Pzc2V3V70n3Xv3r2F9pVUqMiYL39pVmckl9dff73EsZxv/fr1uvrqqyVJkydPLnUR8HyrVq2SaZpq0aJFoSJjPm9vb/Xt21dxcXFlrop7e3tLknJzc8sc1/kiIiJcMqNR3uUpsZ0T6OVQZGT1f9aZj6N8RQcjO6PKjN/btEmlmPyTnXZG+z5boeg7BxYUGiN6tdHWVz6/5LE5GZnKy86Rl6+3jvy08ZKzIC+lXkQ9p85orGyOrDPa+/xQhXS9QXWv+1uF+6tXr54lMxoDAwPLtH/+h6r+/v6lPrYyfy4u9V4/k3huydSAiFpK31f4w+j8JZIeV1YAAMi2SURBVFOLW1YVVYszrw/wAOcVGSWpbt26igwOKmFn9+WQt5x5m9p9w1rp6u6RevLV9Vq0dJ82LRqquVP7qOfIL502szGiXr2Lzmi0e3kVel27dh1FenuVsHfplSUXlicPSpWbCwGgNGx/XENtXl6KjIws8hoALoXrCICqLDw8vNzHUmg8T/4fvfnPXLzQ+++/r9TUVNWuXbvQxT8mJkY+Pj7KysrSunXr1L179yLHrly5UpLUrVu3i8awfPlySVJ0dHS5xlBWGzZsUP/+/ZWSkqLJkyfr6aefLlc/6enpks49x/JSSvr3Lc6JEycKlleqaMLdvXt3mQsC5XXfL9KapLIf9/3rT6tRUPm+B1XJt4elSRvKftw9V0br/r8edn5A5ZBz5qwWNBtRqn0TVm5V7//8XfZAP+WePisvX59il5m8UK+X7pOXr7eSdx1S2/uHat/iVUrdXf6bDOJ3x8s7oPyF7vNl5kpXfO2UrkqU/Munyty3WWePxCt55UdFtrd+dYd8whqWur/4+N3ytyCrrV27tkz7x8XFaeHChRo0aFCpr/WzZs0qR2Slc6n3etKmPWo56hrV7dyySKGxbueWysnIVOoe7rys6px5fYD7yxn6f9J5N78sXbpURpPG1gVkkdNnchTUfZ5T+mpaP1gvPNRF67af0PNvb1ZenqknX1uvFx/ppkfHtNUL72xxynl2x8crMMC7xO05Y++XTvz5S+q8efNk6xxT4fOWJReWJw9KlZsLAaA0nnttgdIyTisiPEKHDx8u8hoALoXrCAB35YLpXdVHfsW2uBl3hw4d0hNPPCFJateuXaFtwcHB6t+/vyTprbfeKnLs8uXLFR8fLx8fHw0ZMqTE8x85ckRPPfWUrrnmGsXEVPwP/tKYN2+ekpOTK1RklFTwPMb4+HgdPFj0GXO5ublatmyZpMKzOi9l5syZMk1TISEh6tr10s/LqypubVL2Y7qFSY3cZLLAVRFSLZ+yHWNIuqnoZNhqIS8rR4m/bldk3xiFtIgsVdElesxA1evTTptnfaqfxs6QaZrqPetvMlwx67aKqN13pDotNtXx4zOK+SijyFdZiozVSfPmzfXdd9+pefPmVodSKge/W6ucM2fV6u5rZXj9+f6s3b6ZLuveSvuW/CJHTsVmnAOAOzMMae7UPrJ7GRo9abny8s7NXnxp3jb9sumYJt8bo1ZNa1obpAtVtzwIAAAAALg4z/lEuxTylw997rnnFB8fX9C+evVqXXXVVUpJSZFUeNnUfJMmTZJhGHr33Xf13nvvFbTv3btXY8eOlST95S9/Ud26dYs9d0ZGhoYMGSJvb2+9++67FRrH2LFjNWXKlELPgyzJSy+9pMWLF1eoyChJAwYMUFhYmHJycjRs2LCCpWIlKTU1VePGjdPOnTtlGIZGjPhz5sz333+vxx9/vND+knTmzBk9++yz+te//iVJeuKJJ+TjU8bKlYWuuEyKDin9/jZDuqtF5cXjaj5e0p2lrydLkm5oKEWU7pGiVdKh79aq4cAuqt+vkw79sP6i+wY3ukydJg1X0ua92vqfz5S296g2/usjhXVsoTb33eCiiGEVu92u0NDQYpfZroqyTqVrw/MfqE67Zhr42TOKGtlf7R68Sf0/mKjME6naNKPobFQAwJ8eHtVGV3QM11Ovb9COvSkF7aYpjXlyuRwOae6UPrLZLr0yiDuobnkQAAAAAHBxFBrP8/jjjys0NFSHDh1S69at1bZtWzVv3lw9evRQq1at1Lt3b0nFFxq7d++u6dOnyzRNjRkzRo0bN1ZMTIyio6O1Z88edevWTdOnTy/2vGfPntWQIUO0b98+LV26VPXq1avQOEaOHKlJkyYpJOTSlS6bzaYbbqh4YSMwMFDz58+Xv7+/Vq9erZYtW6pFixZq27atwsPDNXfuXBmGoeeee04dO3YsOO706dN64YUX1Lx5c9WrV09dunRRp06dVKdOHT399NMyTVP33HOPxo8fX+EYXcluk2Z1K90MRZukp9pLnepUelgudXsT6f+alm7fnnWlx9tder+q7PAP6xUZ214B4aHKOplW8o6God7//ptsXl5a+cArMvPOLU23/c0vdHztLnV45DaFRNV3UdSwwuHDh/XII49Uq2VRds75Wsvv/7fs/r7q+swYXX7P9UpYvlVfXz+x4BmOAICiopuEaMr9nfTr5uOa+d62Itt3H0jTpFfXq2vbMD12VzX/ZaiUqmMeBAAAAACUjELjeRo2bKgVK1bo2muvlZ+fnw4cOKCwsDDNmTNHixcvVlxcnKTiC42SNH78eH377bfq37+/UlNTFRcXp6ioKE2bNk0///yzAgKKTtfKycnRbbfdpjVr1uibb77R5ZdfXqljrEwDBgzQli1bdO+996pZs2Y6fPiwdu3apTp16ujWW2/VsmXL9Pjjjxc6plOnTpo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" ] }, - "execution_count": 15, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -335,7 +335,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 39, "id": "67acea4f", "metadata": {}, "outputs": [], @@ -365,7 +365,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "id": "d53319ba", "metadata": {}, "outputs": [], @@ -379,7 +379,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "id": "1bdb3596", "metadata": {}, "outputs": [], @@ -389,7 +389,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "id": "df7421d0", "metadata": { "slideshow": { @@ -405,7 +405,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 43, "id": "41c1df20", "metadata": {}, "outputs": [], @@ -425,7 +425,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 44, "id": "fa59fb42", "metadata": { "slideshow": { @@ -449,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 45, "id": "5b1ff3a3", "metadata": {}, "outputs": [ @@ -457,10 +457,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (no correction): {'111': 933, '101': 19, '110': 12, '011': 19, '100': 2, '010': 7, '000': 7, '001': 1}\n", - "Completed bit code experiment syndrome measurement counts (no correction): {'00': 938, '01': 44, '10': 17, '11': 1}\n", - "Bit flip errors were detected/corrected on 62/1000 trials.\n", - "A final parity error was detected on 60/1000 trials.\n" + "Completed bit code experiment data measurement counts (no correction): {'111': 952, '010': 10, '011': 20, '101': 12, '110': 4, '000': 1, '001': 1}\n", + "Completed bit code experiment syndrome measurement counts (no correction): {'00': 947, '01': 33, '10': 20}\n", + "Bit flip errors were detected/corrected on 53/1000 trials.\n", + "A final parity error was detected on 47/1000 trials.\n" ] } ], @@ -469,18 +469,14 @@ "data_result = result_no_correction.data.data.get_counts()\n", "marginalized_syndrome_result = result_no_correction.data.syndrome.get_counts()\n", "\n", - "print(\n", - " f\"Completed bit code experiment data measurement counts (no correction): {data_result}\"\n", - ")\n", - "print(\n", - " f\"Completed bit code experiment syndrome measurement counts (no correction): {marginalized_syndrome_result}\"\n", - ")\n", + "print(f\"Completed bit code experiment data measurement counts (no correction): {data_result}\")\n", + "print(f\"Completed bit code experiment syndrome measurement counts (no correction): {marginalized_syndrome_result}\")\n", "decode_result(data_result, marginalized_syndrome_result)" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 46, "id": "7f1c2d48", "metadata": {}, "outputs": [ @@ -488,10 +484,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (corrected): {'111': 908, '011': 12, '101': 44, '010': 8, '001': 2, '110': 13, '000': 12, '100': 1}\n", - "Completed bit code experiment syndrome measurement counts (corrected): {'00': 935, '10': 17, '01': 43, '11': 5}\n", - "Bit flip errors were detected/corrected on 65/1000 trials.\n", - "A final parity error was detected on 80/1000 trials.\n" + "Completed bit code experiment data measurement counts (corrected): {'111': 934, '101': 20, '010': 2, '011': 30, '110': 9, '000': 3, '001': 2}\n", + "Completed bit code experiment syndrome measurement counts (corrected): {'00': 933, '10': 40, '01': 26, '11': 1}\n", + "Bit flip errors were detected/corrected on 67/1000 trials.\n", + "A final parity error was detected on 63/1000 trials.\n" ] } ], @@ -500,12 +496,8 @@ "corrected_data_result = result_with_correction.data.data.get_counts()\n", "corrected_syndrome_result = result_with_correction.data.syndrome.get_counts()\n", "\n", - "print(\n", - " f\"Completed bit code experiment data measurement counts (corrected): {corrected_data_result}\"\n", - ")\n", - "print(\n", - " f\"Completed bit code experiment syndrome measurement counts (corrected): {corrected_syndrome_result}\"\n", - ")\n", + "print(f\"Completed bit code experiment data measurement counts (corrected): {corrected_data_result}\")\n", + "print(f\"Completed bit code experiment syndrome measurement counts (corrected): {corrected_syndrome_result}\")\n", "decode_result(corrected_data_result, corrected_syndrome_result)" ] }, @@ -520,8 +512,8 @@ "\n", "\n", "\n", - "- [Foundations of quantum error correction course](learning/courses/foundations-of-quantum-error-correction) - Learn more about quantum error correction\n", - "- [Low-overhead error detection with spacetime codes tutorial](docs/tutorials/ghz-spacetime-codes) - Learn how to use Pauli checks to detect errors and post-select samples\n", + "- [Foundations of quantum error correction course](learning/courses/foundations-of-quantum-error-correction) - learn more about quantum error correction\n", + "- [Low-overhead error detection with spacetime codes tutorial](docs/tutorials/ghz-spacetime-codes) - learn how to use Pauli checks to detect errors and post-select samples\n", "\n", "\n" ] From 311b17a303699ed747f5a3ab7febd8deb4b0f641 Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Mon, 18 May 2026 10:24:33 -0400 Subject: [PATCH 04/13] final updates of original tutorial workflow --- docs/tutorials/repetition-codes.ipynb | 161 +++++++++++++++++--------- 1 file changed, 104 insertions(+), 57 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index dfcf3473fc4..d234763eced 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -138,7 +138,7 @@ "source": [ "#### Build a bit-flip stabilizer circuit\n", "\n", - "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state, and the remaining two are used as stabilizer measurement ancillas.\n", + "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state (the \"data qubits\"), and the remaining two are used as stabilizer measurement ancillas.\n", "\n", "Below you will build a circuit that (1) prepares the data qubits in the logical $|1 \\rangle$ state, (2) applies a cycle of error correction (including reset of the syndrome qubits), and (3) reads out the state of the data qubits." ] @@ -163,22 +163,22 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 4, "id": "606dff18", "metadata": {}, "outputs": [], "source": [ - "qreg_data = QuantumRegister(3)\n", - "qreg_measure = QuantumRegister(2)\n", - "creg_data = ClassicalRegister(3, name=\"data\")\n", - "creg_syndrome = ClassicalRegister(2, name=\"syndrome\")\n", - "state_data = qreg_data[0]\n", - "ancillas_data = qreg_data[1:]\n", + "qreg_data = QuantumRegister(3, name='qdata')\n", + "qreg_syndrome = QuantumRegister(2, name='qsyndrome')\n", + "creg_data = ClassicalRegister(3, name=\"cdata\")\n", + "creg_syndrome = ClassicalRegister(2, name=\"csyndrome\")\n", + "state_data = qreg_data[0] # data qubit corresponding to the input data qubit\n", + "ancillas_data = qreg_data[1:] # the two additional data qubits needed to encode the state\n", "\n", "\n", "def build_qc():\n", " \"\"\"Build a typical error correction circuit\"\"\"\n", - " return QuantumCircuit(qreg_data, qreg_measure, creg_data, creg_syndrome)\n", + " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome)\n", "\n", "\n", "def initialize_qubits(circuit: QuantumCircuit):\n", @@ -189,36 +189,40 @@ "\n", "\n", "def encode_bit_flip(circuit, state, ancillas) -> QuantumCircuit:\n", - " \"\"\"Encode bit-flip. This is done by simply adding a cx\"\"\"\n", + " \"\"\"\n", + " Encode bit-flip. This is done by simply adding a cx\n", + " The ancillas here are the two data qubits beyond the initial input data qubit\n", + " and are not to be confused with syndrome/measurement ancillas.\n", + " \"\"\"\n", " for ancilla in ancillas:\n", " circuit.cx(state, ancilla)\n", " circuit.barrier(state, *ancillas)\n", " return circuit\n", "\n", "\n", - "def measure_syndrome_bit(circuit, qreg_data, qreg_measure, creg_measure):\n", + "def measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_measure):\n", " \"\"\"\n", " Measure the syndrome by measuring the parity.\n", - " We reset our ancilla qubits after measuring the stabilizer\n", + " We reset our syndrome qubits after measuring the stabilizer\n", " so we can reuse them for repeated stabilizer measurements.\n", " Because we have already observed the state of the qubit,\n", " we can write the conditional reset protocol directly to\n", " avoid another round of qubit measurement if we used\n", " the `reset` instruction.\n", " \"\"\"\n", - " circuit.cx(qreg_data[0], qreg_measure[0])\n", - " circuit.cx(qreg_data[1], qreg_measure[0])\n", - " circuit.cx(qreg_data[0], qreg_measure[1])\n", - " circuit.cx(qreg_data[2], qreg_measure[1])\n", - " circuit.barrier(*qreg_data, *qreg_measure)\n", - " circuit.append(MidCircuitMeasure(), [qreg_measure[0]], [creg_measure[0]])\n", - " circuit.append(MidCircuitMeasure(), [qreg_measure[1]], [creg_measure[1]])\n", + " circuit.cx(qreg_data[0], qreg_syndrome[0])\n", + " circuit.cx(qreg_data[1], qreg_syndrome[0])\n", + " circuit.cx(qreg_data[0], qreg_syndrome[1])\n", + " circuit.cx(qreg_data[2], qreg_syndrome[1])\n", + " circuit.barrier(*qreg_data, *qreg_syndrome)\n", + " circuit.append(MidCircuitMeasure(), [qreg_syndrome[0]], [creg_measure[0]])\n", + " circuit.append(MidCircuitMeasure(), [qreg_syndrome[1]], [creg_measure[1]])\n", "\n", " with circuit.if_test((creg_measure[0], 1)):\n", - " circuit.x(qreg_measure[0])\n", + " circuit.x(qreg_syndrome[0])\n", " with circuit.if_test((creg_measure[1], 1)):\n", - " circuit.x(qreg_measure[1])\n", - " circuit.barrier(*qreg_data, *qreg_measure)\n", + " circuit.x(qreg_syndrome[1])\n", + " circuit.barrier(*qreg_data, *qreg_syndrome)\n", " return circuit\n", "\n", "\n", @@ -236,25 +240,24 @@ "\n", "def apply_final_readout(circuit, qreg_data, creg_data):\n", " \"\"\"Read out the final measurements\"\"\"\n", - " circuit.barrier(qreg_data)\n", " circuit.measure(qreg_data, creg_data)\n", " return circuit" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 5, "id": "dbe02949", "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "
" ] }, - "execution_count": 37, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -265,7 +268,7 @@ " circuit = initialize_qubits(circuit)\n", " circuit = encode_bit_flip(circuit, state_data, ancillas_data)\n", " circuit = measure_syndrome_bit(\n", - " circuit, qreg_data, qreg_measure, creg_syndrome\n", + " circuit, qreg_data, qreg_syndrome, creg_syndrome\n", " )\n", "\n", " if apply_correction:\n", @@ -276,7 +279,7 @@ "\n", "\n", "circuit = build_error_correction_sequence(apply_correction=True)\n", - "circuit.draw(output=\"mpl\", style=\"iqp\", cregbundle=False)" + "circuit.draw(output=\"mpl\", style=\"iqp\", cregbundle=False, fold=-1)" ] }, { @@ -304,7 +307,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 7, "id": "67b55eef", "metadata": { "slideshow": { @@ -314,12 +317,12 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "
" ] }, - "execution_count": 38, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -330,12 +333,12 @@ "pm = generate_preset_pass_manager(backend=backend, optimization_level=3)\n", "isa_circuit = pm.run(circuit)\n", "\n", - "isa_circuit.draw(\"mpl\", style=\"iqp\", idle_wires=False)" + "isa_circuit.draw(\"mpl\", style=\"iqp\", idle_wires=False, cregbundle=False, fold=-1)" ] }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 8, "id": "67acea4f", "metadata": {}, "outputs": [], @@ -365,7 +368,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "id": "d53319ba", "metadata": {}, "outputs": [], @@ -374,12 +377,34 @@ "sampler_no_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", "job_no_correction = sampler_no_correction.run(\n", " [isa_no_correction_circuit], shots=1000\n", - ")" + ")\n", + "print(job_no_correction.job_id())" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 11, + "id": "437397a5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'DONE'" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "job_no_correction.status()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, "id": "1bdb3596", "metadata": {}, "outputs": [], @@ -389,7 +414,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "id": "df7421d0", "metadata": { "slideshow": { @@ -400,12 +425,34 @@ "source": [ "sampler_with_correction = Sampler(backend)\n", "sampler_with_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", - "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)" + "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)\n", + "job_with_correction.job_id()" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 14, + "id": "e1fe190e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'DONE'" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "job_with_correction.status()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, "id": "41c1df20", "metadata": {}, "outputs": [], @@ -425,7 +472,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 16, "id": "fa59fb42", "metadata": { "slideshow": { @@ -439,17 +486,15 @@ " success_trials = data_counts.get(\"000\", 0) + data_counts.get(\"111\", 0)\n", " failed_trials = shots - success_trials\n", " error_correction_events = shots - syndrome_counts.get(\"00\", 0)\n", - " print(\n", - " f\"Bit flip errors were detected/corrected on {error_correction_events}/{shots} trials.\"\n", - " )\n", - " print(\n", - " f\"A final parity error was detected on {failed_trials}/{shots} trials.\"\n", - " )" + " print(f\"Bit flip errors were detected/corrected on {error_correction_events}/{shots} trials.\")\n", + " print(f\"A final parity error was detected on {failed_trials}/{shots} trials.\")\n", + " recover_input_trials = data_counts.get(\"111\", 0) + data_counts.get(\"110\", 0) + data_counts.get(\"101\", 0) + data_counts.get(\"011\", 0)\n", + " print(f\"Results consistent with input state after error correction based on final measurements on {recover_input_trials}/{shots} trials\")" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 17, "id": "5b1ff3a3", "metadata": {}, "outputs": [ @@ -457,10 +502,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (no correction): {'111': 952, '010': 10, '011': 20, '101': 12, '110': 4, '000': 1, '001': 1}\n", - "Completed bit code experiment syndrome measurement counts (no correction): {'00': 947, '01': 33, '10': 20}\n", - "Bit flip errors were detected/corrected on 53/1000 trials.\n", - "A final parity error was detected on 47/1000 trials.\n" + "Completed bit code experiment data measurement counts (no correction): {'111': 923, '010': 9, '110': 12, '011': 23, '101': 28, '001': 3, '000': 1, '100': 1}\n", + "Completed bit code experiment syndrome measurement counts (no correction): {'10': 24, '00': 945, '01': 27, '11': 4}\n", + "Bit flip errors were detected/corrected on 55/1000 trials.\n", + "A final parity error was detected on 76/1000 trials.\n", + "Results consistent with input state after error correction based on final measurements on 986/1000 trials\n" ] } ], @@ -476,7 +522,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 18, "id": "7f1c2d48", "metadata": {}, "outputs": [ @@ -484,10 +530,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (corrected): {'111': 934, '101': 20, '010': 2, '011': 30, '110': 9, '000': 3, '001': 2}\n", - "Completed bit code experiment syndrome measurement counts (corrected): {'00': 933, '10': 40, '01': 26, '11': 1}\n", + "Completed bit code experiment data measurement counts (corrected): {'111': 883, '101': 53, '000': 17, '100': 1, '110': 7, '011': 30, '001': 3, '010': 6}\n", + "Completed bit code experiment syndrome measurement counts (corrected): {'00': 933, '10': 24, '01': 39, '11': 4}\n", "Bit flip errors were detected/corrected on 67/1000 trials.\n", - "A final parity error was detected on 63/1000 trials.\n" + "A final parity error was detected on 100/1000 trials.\n", + "Results consistent with input state after error correction based on final measurements on 973/1000 trials\n" ] } ], From 30545e69db58fc64615dbf6dee7140f53cfa6dee Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Wed, 20 May 2026 10:20:36 -0400 Subject: [PATCH 05/13] implemented logical memory experiment for repetition code --- docs/tutorials/repetition-codes.ipynb | 509 ++++++++++++++++---------- 1 file changed, 318 insertions(+), 191 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index d234763eced..b1fb7ad361c 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -65,7 +65,14 @@ "\n", "To enable real-time quantum error correction (QEC), you need to be able to dynamically control quantum program flow during execution so that quantum gates can be conditioned on measurement results. This tutorial runs the bit-flip code, which is a very simple form of QEC. It demonstrates a dynamic quantum circuit that can protect an encoded qubit from a single bit-flip error, and then evaluates the bit-flip code performance.\n", "\n", - "You can exploit additional ancilla qubits and entanglement to measure *stabilizers* that do not transform encoded quantum information, while still informing you of some classes of errors that might have occurred. A quantum stabilizer code encodes $k$ logical qubits into $n$ physical qubits. Stabilizer codes critically focus on correcting a discrete error set with support from the Pauli group $\\Pi^n$." + "You can exploit additional ancilla qubits and entanglement to measure *stabilizers* that do not transform encoded quantum information, while still informing you of some classes of errors that might have occurred. A quantum stabilizer code encodes $k$ logical qubits into $n$ physical qubits. Stabilizer codes critically focus on correcting a discrete error set with support from the Pauli group $\\Pi^n$.\n", + "\n", + "\n", + "In this tutorial, we demonstrate the bit-flip code using a simple quantum memory experiment. We will prepare the encoded qubit in the logical state $|\\bar{1}\\rangle \\equiv |111\\rangle$ and then implement multiple cycles of idle time (to accrue errors) followed by error detection + correction. We then quantify the probability of a logical error as a function of the number of cycles (time), where the logical error probability is the probability of finding the qubits in a state that doesn't recover the $|\\bar{1}\\rangle$ after final measurement (concretely, states corresponding to an error are $|000\\rangle$, $|001\\rangle$, $|010\\rangle$, and $|100\\rangle$).\n", + "\n", + "We will compare the error rate vs. time to the error rates of individual, unencoded qubits, and also to use of the repetition code where we only detect and correct errors after final measurement, but not dynamically during the circuit.\n", + "\n", + "Note: the repetition code only allows for correction of bit-flip errors and therefore is not a complete error correction code. However, because of its simplicity, it is a good starting point to illustrate how to implement error correction on a quantum computer. The memory experiment below only tests for a single type of error (a $|\\bar{1}\\rangle$ decaying to $|\\bar{0}\\rangle$) and technically only demonstrates the protection of classical information." ] }, { @@ -89,6 +96,29 @@ "## Setup" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "71cb35d9", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import curve_fit\n", + "\n", + "sns.set()\n", + "plt.rc('xtick', labelsize=20)\n", + "plt.rc('ytick', labelsize=20)\n", + "plt.rc('lines', linewidth=3)\n", + "plt.rc('font', size=20)\n", + "plt.rc('legend', fontsize = 'large')\n", + "plt.rc('axes', labelsize=20)\n", + "plt.rcParams['figure.figsize'] = 15, 6\n", + "plt.rcParams['legend.title_fontsize'] = 25" + ] + }, { "cell_type": "code", "execution_count": null, @@ -109,7 +139,6 @@ "\n", "# Qiskit Runtime\n", "from qiskit_ibm_runtime import QiskitRuntimeService, SamplerV2 as Sampler\n", - "\n", "from qiskit_ibm_runtime.circuit import MidCircuitMeasure\n", "\n", "service = QiskitRuntimeService()" @@ -145,12 +174,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "id": "b588703a", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ibm_kingston\n" + ] + } + ], "source": [ - "# Choose the least busy backend that supports `measure_2`.\n", + "# Choose the least busy backend that supports mid-circuit measurements (`measure_2`).\n", "\n", "backend = service.least_busy(\n", " filters=lambda b: \"measure_2\" in b.supported_instructions,\n", @@ -163,47 +200,36 @@ }, { "cell_type": "code", - "execution_count": 4, - "id": "606dff18", + "execution_count": 118, + "id": "d36817e7", "metadata": {}, "outputs": [], "source": [ - "qreg_data = QuantumRegister(3, name='qdata')\n", - "qreg_syndrome = QuantumRegister(2, name='qsyndrome')\n", - "creg_data = ClassicalRegister(3, name=\"cdata\")\n", - "creg_syndrome = ClassicalRegister(2, name=\"csyndrome\")\n", - "state_data = qreg_data[0] # data qubit corresponding to the input data qubit\n", - "ancillas_data = qreg_data[1:] # the two additional data qubits needed to encode the state\n", - "\n", - "\n", - "def build_qc():\n", + "def build_qc(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref=None, creg_ref=None):\n", " \"\"\"Build a typical error correction circuit\"\"\"\n", - " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome)\n", - "\n", - "\n", - "def initialize_qubits(circuit: QuantumCircuit):\n", - " \"\"\"Initialize qubit to |1>\"\"\"\n", - " circuit.x(qreg_data[0])\n", - " circuit.barrier(qreg_data)\n", + " if qreg_ref:\n", + " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref, creg_ref)\n", + " else:\n", + " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome)\n", + "\n", + "def encode_bit_flip(circuit, qreg_data, qreg_ref=None) -> QuantumCircuit:\n", + " \"\"\"Encode bit-flip. This is done by simply adding a cx\"\"\"\n", + "\n", + " for q in qreg_data:\n", + " circuit.x(q)\n", + " \n", + " if qreg_ref:\n", + " for q in qreg_ref:\n", + " circuit.x(q)\n", + " \n", + " circuit.barrier()\n", + " \n", " return circuit\n", "\n", - "\n", - "def encode_bit_flip(circuit, state, ancillas) -> QuantumCircuit:\n", - " \"\"\"\n", - " Encode bit-flip. This is done by simply adding a cx\n", - " The ancillas here are the two data qubits beyond the initial input data qubit\n", - " and are not to be confused with syndrome/measurement ancillas.\n", - " \"\"\"\n", - " for ancilla in ancillas:\n", - " circuit.cx(state, ancilla)\n", - " circuit.barrier(state, *ancillas)\n", - " return circuit\n", - "\n", - "\n", - "def measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_measure):\n", + "def measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_syndrome, qreg_ref=None):\n", " \"\"\"\n", " Measure the syndrome by measuring the parity.\n", - " We reset our syndrome qubits after measuring the stabilizer\n", + " We reset our ancilla qubits after measuring the stabilizer\n", " so we can reuse them for repeated stabilizer measurements.\n", " Because we have already observed the state of the qubit,\n", " we can write the conditional reset protocol directly to\n", @@ -214,17 +240,18 @@ " circuit.cx(qreg_data[1], qreg_syndrome[0])\n", " circuit.cx(qreg_data[0], qreg_syndrome[1])\n", " circuit.cx(qreg_data[2], qreg_syndrome[1])\n", - " circuit.barrier(*qreg_data, *qreg_syndrome)\n", - " circuit.append(MidCircuitMeasure(), [qreg_syndrome[0]], [creg_measure[0]])\n", - " circuit.append(MidCircuitMeasure(), [qreg_syndrome[1]], [creg_measure[1]])\n", + " circuit.barrier()\n", + " \n", + " for q_measure, c_measure in zip(qreg_syndrome, creg_syndrome):\n", + " circuit.append(MidCircuitMeasure(), [q_measure], [c_measure])\n", "\n", - " with circuit.if_test((creg_measure[0], 1)):\n", + " with circuit.if_test((creg_syndrome[0], 1)):\n", " circuit.x(qreg_syndrome[0])\n", - " with circuit.if_test((creg_measure[1], 1)):\n", + " with circuit.if_test((creg_syndrome[1], 1)):\n", " circuit.x(qreg_syndrome[1])\n", - " circuit.barrier(*qreg_data, *qreg_syndrome)\n", - " return circuit\n", "\n", + " circuit.barrier()\n", + " return circuit\n", "\n", "def apply_correction_bit(circuit, qreg_data, creg_syndrome):\n", " \"\"\"We can detect where an error occurred and correct our state\"\"\"\n", @@ -234,52 +261,79 @@ " circuit.x(qreg_data[1])\n", " with circuit.if_test((creg_syndrome, 2)):\n", " circuit.x(qreg_data[2])\n", - " circuit.barrier(qreg_data)\n", + " circuit.barrier()\n", " return circuit\n", "\n", - "\n", - "def apply_final_readout(circuit, qreg_data, creg_data):\n", + "def apply_final_readout(circuit, qreg_data, creg_data, qreg_ref=None, creg_ref=None):\n", " \"\"\"Read out the final measurements\"\"\"\n", + " \n", + " circuit.barrier()\n", + " if qreg_ref:\n", + " circuit.measure(qreg_ref, creg_ref)\n", " circuit.measure(qreg_data, creg_data)\n", + " \n", " return circuit" ] }, { "cell_type": "code", - "execution_count": 5, - "id": "dbe02949", + "execution_count": 119, + "id": "0e8ea0be", "metadata": {}, "outputs": [ { "data": { - "image/png": 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Rle3r1q1LcXFxioqK0q1bt/LjTz75ZJJkwYIFWbBgwSZjSpJ99923/Ovf/OY3mT17dp555pnyOFu3bp1+/frlb3/7W0499dTNzvV+XQ9on64HtN+qMQAAO4tV7yzJfT97rMq2tSve3T64dv26ldo2Hlu7YlXhgmO7uOAbn0+D5rtv1ZgfXfSNbTpXp31b5bLzz9mmsXy0XTd4SJatKMmujRrmsvPPqfQaapLFixfnykHbNvbgzu1dEzXA3/72t9x5+7aNPeXYw3LyySdv34DY4RZPH5unH0v22GOPLer/3n4Dv3zyFo8DAKD6yY/WfNuSH71q0OZ3ntiU/dvJj9ZU8qPsTBYuXJirLty2sYcc1ME1UQM89NBD+f3gbRt76qcP26r7PPloWjh1dIb9c9vyo//9lVOz2267FSo0AIDtpqSkJFdfdG6SpMv+7bZ5nhpbyDVz5swkSfv2W16IU79+/Vx11VW58sor88orr+SRRx7Jr3/96wwbNizHHXdcJk+enBYtWpT3r127dnr16pVhw4Zl5MiRGTBgQAYNGpSysrJce+21ady44na/xcXFWbduXfbdd9/svvvuVcawsZDr4IMPLj82Y8aMzb6XlStX5oUXXkhSsQAsSSZNmpS1a9emffv2adq0aZXjN35Wm9u5bGOxV79+/aqcu6ofol999dWsXr06HTp0qLK9uLg4a9asSYcOHSrsNLYxnrfeeqtC4dgH+fvf/54jjjiiwpjDDz88++67bx555JGtLuQa/9rUDLUjFwBAlWqtWJ0Wm2grmf1uMX6DvSonaBvu1TRrlqzIulVrKrXx0fLz3z641U+crVO3XvnuuVtjysy3c93gIVs9jo++5SUry/973eAhlV5DTbJ+/foUFRWlbHNPXN+EcZPfck3UANPeeHWbxz7y9MhMnLl8O0ZDdRj72vQk7+Y1t8T06e/2Lyoqyu13P5LatTe9qwMAAB8t8qM137bkR3epVz9r1279/QVTZsyXF6ih5EfZmaxfv26bx459dbprogaY+nrxNo/921MvZ/xbS7djNFSHcZPfzYtuS370F3f9LbVq1SpUaAAA203pmtXlX0+cPC19e3bZpnlqbCFXSUlJkmTVqq1/klVRUVF69eqVXr165YILLkjXrl0zZ86cjBw5MieddFKFvn379s2wYcMyatSorF69Os8++2y6d++er32t8pOWxo0bl6RikdZ7LV26NNOmTUuDBg2y//77lx9fvnx5hff0fnfddVdWrFiRZs2apXXr1lWe8/0FXu+18QajTc0/a9asPProo6lXr16FJwN/0NxjxoxJsun3W9XuY0myYsWKJFv/vSsuLs4ZZ5xR6Xjnzp1TXLz1vyg+8/K4LFi0ZKvHAQDsDGqtXLPJGxVKl63M8rfmp1nXyg8iaNa1XRaOe7OwwbFdLFu5MhuyfqvGtNvvoEwc/eJWn6tN+/2zbEXVv49QM5SVlVX4Hr//NdQU+3Q8MNPf2PocROt2/h6sCZo0b5H6DRtl9cqt+17Wb9goTZrtZQ3UAK337ZTk3d3Z3n777XziE5/YbP877rgjSbLvfgemZNXqzfYFAOCjRX605tvW/OikMSO2+lyt5UdrPPlRdhb7dDwwb03Z+ocdtWrXyTVRA+zWvGXqN2iY1atWbtW4Bo0ap0lT+dGaYGN+9KGHHsqCBQuy5557brb/xvxou04HZcVKO9YCAB8PpaX/fkDT869MUMj1fm3atElxcXFefPHF9O3bd5vn2WOPPVK3bt0kqfIHy0MPPTTJuztW3X333UmSm2++ucqnA3xQ4dPGwqauXbtWePpqixYtMmXKlIwYMaLSe5kzZ06uuOKKJEn37t03ec5NFVMlyX777ZeRI0fmlVdeSe/evSu0bdiwIeedd15KS0szcODACrt6ben72dS5NzW+bdu2mTRpUp544okKBW0fZPHixVXudLbHHntkypQpWzzPRkf26Z7H7cgFAFClWtn8bgFvPToinb/52ezWsVWWTpmTJGn5ya7ZrWPrTPzlwzsiRD6kJg0bbvUTZz95zAlbXci1R7M9071nH09Yq6GWl6xMWVlZioqKsmujhpVeQ01zxFHHb3UhV5t9O6TT/gcWKCJ2rEbpddiRee7Jf2zVqF6HHZlme1R+Uj8fP00O6Jw2+3bIzOlv5kc/+lFuv/32TfadNm1a/vd//zdJ0u+oE9KkcaMdFSYAANuB/GjNt6350a0t5Gra/BPpfnBv+dEaSn6Unc0RRx2/1YVcbdvtl/06HVCgiNixGuWQw47M8089tlWjeh/eP0332L0wIbFDNTnwoLTep31mvzU111xzTW677bZN9p06dWp5IVe/o46XHwUAPjZK1/w7L9jvkK7bPE+NLeQ67bTTUlxcnGuuuSbdunXL0UcfXd42b968DBkyJKeffnr22Wef/OEPf0hxcXG+8pWvpHPnzuX9Fi1alIsvvjjTp0/PgQcemD59+lQ6z8ZCrieeeCJJMmDAgBxzzDFVxvRBRVWb2qHquOOOy5QpU3L99denf//+5QVbY8aMyTnnnJMFCxZUOW5zc77XWWedlZEjR+a6667Lpz71qfLPYM6cOTn//PPz6KOPpnv37vnxj39c5dybej/buiPXGWeckUmTJuXSSy9NixYt8vnPf75C++TJkzNkyJCccMIJOfzwwyu0FRUVVTrPxh3HtlbXA9qn6wGVn5IGAECy6p0lue9nm07CT/jlw+lwxpE57v4rM+nXj6R2vbrp+p1TsnDC1Lz54DM7MFK21QXf+HwaNN99q8e9Oe75PP7441vc/4brrs23vvWlrT4PHw/XDR6SZStKsmujhrns/HMqvYaaZv36L2Tiy0+X5zy2xO0/v6XCDuh8vJ0z4Ih07949S5cu3aL+u+22W+6+Y3D23XffwgbGDtO1bZOcfPLJGTx4cOrXr5+rr746jRpVvAnhlVdeyemnn54lS5akR48e+f3gGys82AsAgI8++dGab1vyo2VlZZky9rny+0e2xI03XJdvfEN+tKaSH2Vns27dWZnw0lMZP378Fo8ZfNstGTBgQAGjYkc6+zOHp0ePHlm2bNkW9d99991z9x2D07Zt2wJHxo5y0N6Nc+qpp+YXv/hF6tWrl6uuuqpSfnTUqFE5/fTTs3Tp0vTs2TN33v4T+VEA4GOjpKQkV190bpKky/7ttnmeGvtIn0suuSQ9e/bMokWLcswxx6RVq1bp1atXWrZsmZYtW+bSSy9Ny5YtkyTDhw/PjTfemIMOOiif+MQn0rt37xx00EFp1apVfvvb36Z169Z54IEHqnwCUosWLcp/kahTp05++tOfbjKmDyrk2lTh0w9+8IM0a9Ys8+fPzyGHHJLOnTtn//33T8+ePbN48eLyXbSq2pFr4y/GmyvkGjhwYA4//PDMnDkz3bp1y4EHHphu3bqlbdu2eeihh9K3b9889thj2XXXXbdq7m3dkev73/9+Dj/88Cxfvjynn356mjVrll69euXggw9Os2bNcsABB+Saa65Ju3YVF/4ee+yRxYsXVzrPkiVLKuwkBgBA4a1ZuCyPfe6KLC5+Kwd//6x0/uZnM+NfIzP0P36cDaXrqjs8Cui+++7b7I7A7/W9730v3/zmNwscEcCOU7t27fz9739Phw4dtqj/TTfdpIirhtlnn33y0EMPVfqH6ao0atQoDz30kCKuGuakk07KzTffnCS5+eab07p16wwcODC/+tWvcvPNN+eII45Ir169Mn369HTo0CF///vf3aQAAFADyY/unIqKinL//fdv9v6M97rkkkvyjW98o7BBAexAderUyaOPPpr27bfswdm33nqrIq4apl27dnnooYfSsOEH7zq4MT+qiKtmOeWUU8rvob3pppuqzI/27t07b731Vjp27JhHHnlEfhQA2CnV2EKuxo0b59lnn80111yT7t27Z8mSJSkuLk6DBg1y2mmn5a677krdunWTJN/61rdy6aWXpl+/fqlbt27Gjx+fGTNmpEuXLvnRj36USZMmVdip6/0OOODd7Z3PO++88q/fb9asWVm0aFGaNWuWvffeu8o+m9qhqk2bNnnuuecyYMCANGjQINOmTUtZWVkGDhyY0aNHZ8mSJUkqF3LNmjUrCxcuTPPmzTd5ziSpW7duhg4dmv/3//5f2rdvn6lTp2bu3Lnp169ffv3rX+e5554rL3p7/9ybej/Tp0/P4sWLs9dee6VFixZVfh6biq1hw4Z5+umnc+utt+bQQw/N2rVrM378+MyfPz/t27fPoEGD8tRTT1WK6cADD0xxcXGlcxUXF+fAAw/c5PsHAKAwlr05J0988boM6fil3Nf1G3nugtuz+p0t252Cj6/dd989w4cPzze+8Y3Uq1evyj6tW7fOL3/5y9x4441V7qoL8HHWunXrvPjiiznzzDOrfChQkjRt/once++9ueiii3ZwdOwI/fv3z/Dhw9OvX79N9tmnfacMHz48/fv333GBscNceOGFuffee9OhQ4csXbo0t99+e77zne/ke9/7Xp5//vnUqlU7XXv2zYsvvpjWrVtXd7gAABSI/OjOaY899sjw4cPz9a9/fbP50V/96le54YYbdnB0AIW3995758UXX8wZZ5yRok3kR5vtuVf+9Kc/5bvf/e6ODY4d4qijjsrw4cNz+OGHb7LPPh065ZlnnsmRRx65AyNjR/ne976XIUOGpH379pvJjx6aF198Ma1atarucAEAqkVRWVlZWXUH8XE2ffr0dOrUKY0aNcqUKVPSrFmz6g5pp3XTTTflsssuy5tvvpk2bdokSUaMGJHDDjssf/nLX/K5z32umiMEAKg5Vr2zJPd1Pbe6w6CAzppwRxo03/1DzbFw4cLceeedGTNmTFauXJk99tgjJ510Uk466aTUqVNn+wTKR9p1g4dk2YqSNGncKJedf06l11DT/eDHt+eF4UOzdNGCdGjbIjPnL067A7qlW49euXzgl6o7PHaAgZdelxHPPZXVJctzQIe2mbtwRTp1652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ZZVHI9e///u+ZMmVKvvGNb+THP/5x2rd/9w+M3/3ud7PTTjtl+fLl6d+/f9q1a9ewbNSoUUmSurq6/Pd//3f+5V/+paHYqKKiIoVCIV//+tczbty4fO1rX8vvfve7dO7cuWH9nXfeOVdccUWS5P/9v/+3SlwrC6Peexewlda335aMeWXfy5Yty5///Od86lOfSqFQSPLOFSzOOOOMJMmkSZMarfeNb3wjTz/9dA488MDce++9jYrlkmSfffbJJZdc0izjL1V1dXWpra1NXRn+gXn20+OyaPbb6TV070bPdztoUKqq22Ty3U82en7rXXrn43deli37dc/z//nXjPzRjaloVZnD//SdbHfMfg3tdvjMYfnI1d/M0rkL88wPrs9TF1+bBVPfyG5nfiK7/dsnG9p9+LIvZYdTDs+E2/+ZEef9LhPueCz9Tzk8h/z2G+s1nprunTLwrOMz6oqbM+66+/L6M+NS3WWbDLvrR+l6wG4Z8/u789Ql12bJW/Ny0FVfz4CvHrPOr7H4jbmZ874vMybJjp87IiuW1+X1Z8atV+wAxVTOuRAAks0zF/Y6au9sf/yB2f74A7PDKYdnzws/l2Mf/Flab1mdf/zrlalbvDT1y+vyxPm/T02PTjn63p9k1389Njv/y8fysb99P+17dM5TF/8x9XUrVul79lNjs3Tegux18WnZ9cxPpP9nD89BV309+/74y1m+aEla1bRr1H7p3AWZ9tCz6fOJ/VM79fXMfuKljbUZmsXm+P4DNKdyPg46P+r8KEBS3rkQABK5sNzHT2l54403cs011zQ8/vSnP52TTjqp0UXg18WSJUvyk5/8JNOmTWv0/D//+c+89NLm9bcAAADKR8kXco0ZMyY33XRTtt1221x66aWrLC8UCtljjz2SrFpQtbJw6aMf/WhOPfXUVdZ94YUX8qc//Skf+tCH8uMf/3i1rz948OAkydSpq/7RcGUh18o2zdFvS8a8su8TTzwxRxxxxCrrLV26NMk7V7lY6aWXXsrVV1+dtm3b5vrrr0+rVq1W+5rNEeMtt9yS448/Pr179051dXV22mmnfPe7301tbe1aX3NT98orr+TQQw/NK6+8UuxQNr76+ky+56n0OGxIKlq9eyXY3h/fJ7OffDmL35jbqPk+3z89i16fkzuOODcv/Pr2jPnv/81dR383s58am30u/UJDHwPOODqznxqbB7/w44y99t68/Ie7c8+JF2fBtDfS++Mfbuhv+08ekPE3PpiRl92QV258ME9ffG2e/+Vtab1FdaOrxTdVVbs2eerCazLmd3fmmR9en6VzF2T38z6TilZVuePIc/P8z2/Jy//z99x78qV59a/Ds/u5J6dtxy3Wc+O9a9DZJ6TT4H4Zf9NDWTR7zgb3B7CxlXUuBIBsnrlw70u+kIN+9fUc9KuvZ68LP5fuHxmSyfc8nTuOOLdRIdWkO5/IfSd/PwtnvJlBZ5+QIeeelKXzF+WBz/84E/7fP1fb9+I35ub+z/4w8yfNzKCzjs/u530m7Xtum3+c8fO8/Md7stWOPdOu81aN1nn11uFJssY+N2Wb4/sP0JzK+jjo/KjzowAp81wIAJELy338lI76+vr89re/zaJFi5IkhxxySI499tj17m9lEdeLL76Y5J2L0Q8dOrRh+W9+85ssXrx4w4IGAIAWULX2Jpu366+/PitWrMhnP/vZVFdXr7ZNmzZtkqxayLWy0Opzn/vcate74YYbUl9fnxUrVuSjH/3oatssWbIkSVJTU9Po+Tlz5mTSpElp165d+vfv32z9tmTMKwu5Tj755NWuN2bMmCRpNJ7rrrsudXV1Oe2009KzZ8/VrtdcMV5++eXp1atXfvjDH6ZHjx559tlnc/HFF+fhhx/O8OHD1/uqHTvssMN6r7s6rVu3ziWXXJLtt98+t956a5OuljN79uwkyd13351nnnlmre0rKytz/PHH5957780FF1zQUGTXnKpXVOU72bPZ+12dyXc/mR1PPSJd9h+Q6Q+PSqGyIj2P2DOjrrilUbs223RIl30HZMzVd6WyXetUtmvdqI+9Lz4tnQb3zeynxub2Q/8jrarbNFq/bacts2TugrSqefcLCAumv5ntjtkvbz7/Wibf+3SWzqnNcz+9Kc/99Kb1Hs/Mx19890GhkF5D98qMf76QFcvr0mabDu/GfNeI9D3uwHQ7eFBe++vw9X69nU4bmiHnnpy3x07JUxf9scnrDRo4OAsrlq/36ybJJ79wVmrab5EZM2ekR48eqzym9JkDvN/65MFk3XLhxsiDTWUfwBzAHOD9SiEXtqqvyIXZe43LHz3rqjx61lXr1OeMR0dnxqOjP7DNLXv/a6PHs58am7uP/d4q7Sbe8XievvjaVTuof+fOXq/e+kiT4+q/Q/8sK6x6R7ANUSrnBQDWV6kcB50fdX60KXwewBzg/UrhM+G6sA9gDmAO8H7llgvfb2OMP9m0t8G6cAzZ/LZB69atc9lll61x+fPPP5/Ro9/5W8A222yzxu84NsXqiri+853vpG/fvpkwYULGjh2b2bNn57777svRRx+9xn769++/ye4jq3u/N/U50Nw2t32guZX7+AFgU9ahQ4dceumlOeGEE9Zr/ZIv5HrggQeSJB/5yEfW2GblXZ3eW8i1bNmyvPTSSykUCvnYxz72gX2//vrref311z8wju22267R45UFV7vttlsqKyubpd+WjHnJkiV5+eWXk7xzJYzVWd0dxu6///4kybBhwz7wtZojxjvuuCOdO3dueHzwwQenU6dOOfXUU/Poo4/moIMOanIM7zVjxoz1Wm9NWrdunQULFmTZsmVZuHBhli9f+x+CV16FZNGiRVmwYMFa21dVVWXZsmVZsGBBpk2b1iIfNtsXWicfavZuV2vGoy9k6dwF6TV070x/eFS67DsgbbZqn0l3P9GoXYfeXZIku3zxY9nli6vfB2q6d0qeGpv65XXpOKhv+nzigGzZr3u26NOl4WrttVNmN7Qf8e3f5eDffiMH/OLfsqKuLq8/80om3TUi4298MEvnLVyv8Sx+Y17Dz207bpHWW9Sk91H7pPdR+6w55vW02799Int897OZP3lW7vvM97OsdlGT150xc0Zq6zds7qz4v5OOK+rqMm3atFUeU/rMAd5vffJgsm65cGPkwaayD2AOYA7wfqWQC1sXKjfa58Hm1P/UI/LGqFcz5+XJTV5n+ozpWVrftC9TNFWpnBcAWF+lchx0ftT50abweQBzgPcrhc+E68I+gDmAOcD7lVsufL+NMf5k094G68IxZPPbBisvqL8m9957b8PPp5566hovzL82ayri2mGHHZIkX/ziF3POOeckeef7ix//+MfXeCH36dOnN1xUflOzuvd7U58DzW1z2weaW7mPHwA2dT/96U8Vcq3JpEmTkqxaSLXSkiVL8sQT7/yx872FXC+++GKWLVuW7bffPttss81q150yZUrDa/Tq1Wud4lpZ9PT+u4BtSL8tGfOYMWOyfPnybLfddtlqq61W22blmIYMGbLK622//fZNfq31jfG9RVwr7bHHHkmyQb+0du3atdnvyFVTU5NWrVqlurq6SVfXWXkSpl27dqvcKW11Kisr06pVq9TU1KR79+4tdsXZ1Dd7t6u1YtnyTHlgZHoesWdGfPt36XXU3nnj2fFZOP3NRu0KFYUkyUt/uDuT//7kavuaM/ad+bX7dz6TgV87Lm+Ofi2znx6XV2/5R2Y/NTYfvuyLaf+eLwbMeHR0btnzjPQ8Ys/0OHz3dDtkcPa+6LQM+PLRuePIc7P4jblrjLtQVbna5+tXvHs195UxT7zj8Yy97t7Vtp8/adYaX+ODrBzjvAkzcs+nLl5le61N1y5dN/iKsxX/V6haUVmZ7t27r/KY0mcO8H7rkweTdcuFGyMPNpV9AHMAc4D3K4Vc2Kq+Imnem1S1mEJlRQ7+zdmp6d4pnXffIQ9/+WfrtH63rt1a5I5cpXBeAGB9lcpx0PlR50ebwucBzAHerxQ+E64L+wDmAOYA71duufD9Nsb4k017G6wLx5DNbxu0bt16jcveeOONjBw5Msk7d+Pae++91+s11lbElSQ9e/bMbrvtltGjR2fWrFkZPXr0ar+nmSTdunXbZPeR1b3fm/ocaG6b2z7Q3Mp9/ACwKevQoUPDxQPWR8kXcq38ILt48eLVLv/Tn/6UuXPnpmPHjo1+sRk1alSSxneXer/a2tok7171ZF2s7u5VG9pvS8a8su/3Fmm919y5czNhwoS0a9cuO+64Y8PzK7f/urzehmzX93vkkUeSJDvttNN69/HKK6806STIupo9e3Y+/elPp75+7X/tf/nll3PjjTfmqKOOatJYCoVCevXqlf322y+f/exnmyPcVSx6Y05u2u2LLdL36ky+64n0Pe7AdBrcL72G7p0xV9+5SpuVV4qtr6vLjOGjGy3bsn+PdOi5bZYvWpqaHp0y8GvHZfzN/8ij//7LRu3addqy4efKNq2yzYDtsmD6m5lw+z8z4fZ/JoVCBnzl6Ox14efS59j989Lv78qKune+eFDRuiorli5fbV9rsvjNeVm2cHEqWlWuEnNN907puFufLF+47ld9GXj2CRn4tePy9tgpuffEi7No9px17mPU88+lXaet1nm99/rhVddnXu2CdO3SNVOnTl3lMaXPHGBN1iUPJuuWCzdGHmwq+wDmAOYAa7I558JlCxfn+r7FzbFNVV+3Ilv06ZL2vbbNqJ/fkol3PL5O6497ZVxaVbdtkdg29/MCABtqcz8OOj/q/GhT+DyAOcCabM6fCdeFfQBzAHOANSmXXLgmLTn+ZPPYBk3hGLL5bYPly5fn1ltvXe2y5557rmHOH3rooamsXP0FYD5IU4q4VvroRz+a0aPfOdfw7LPPrrGQa9y4camq2jS/Rru693tTnwPNbXPbB5pbuY8fAEpZ891maBPVpUuXJMnTTz+9yrIpU6bkvPPOS5IMHDiw0bK1FS4labhb1P3337/OcX1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" ] }, - "execution_count": 5, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "def build_error_correction_sequence(apply_correction: bool) -> QuantumCircuit:\n", - " circuit = build_qc()\n", - " circuit = initialize_qubits(circuit)\n", - " circuit = encode_bit_flip(circuit, state_data, ancillas_data)\n", - " circuit = measure_syndrome_bit(\n", - " circuit, qreg_data, qreg_syndrome, creg_syndrome\n", - " )\n", - "\n", - " if apply_correction:\n", + "def build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=3, delay=None) -> QuantumCircuit:\n", + " \n", + " circuits = []\n", + " reps = []\n", + "\n", + " qreg_data = QuantumRegister(3, name='qdata')\n", + " qreg_syndrome = QuantumRegister(2, name='qsyndrome')\n", + " creg_data = ClassicalRegister(3, name=\"cdata\")\n", + " creg_syndrome = ClassicalRegister(2, name=\"csyndrome\")\n", + " qreg_ref = QuantumRegister(nq_ref, name='qreference')\n", + " creg_ref = ClassicalRegister(nq_ref, name='creference')\n", + " \n", + " circuit = build_qc(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " circuit = encode_bit_flip(circuit, qreg_data, qreg_ref=qreg_ref)\n", + "\n", + " circuit_n = circuit.copy()\n", + " circuit_n = apply_final_readout(circuit_n, qreg_data, creg_data, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " circuits.append(circuit_n)\n", + " reps.append(0)\n", + "\n", + " for i in range(1, num_cycles + 1):\n", + " if delay:\n", + " circuit.delay(delay, unit='us')\n", + " circuit.barrier()\n", + " circuit = measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_syndrome, qreg_ref=qreg_ref)\n", " circuit = apply_correction_bit(circuit, qreg_data, creg_syndrome)\n", + " circuit_n = circuit.copy()\n", + " if i % cycles_per_circuit == 0:\n", + " circuit_n = apply_final_readout(circuit_n, qreg_data, creg_data, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " circuits.append(circuit_n)\n", + " reps.append(i)\n", "\n", - " circuit = apply_final_readout(circuit, qreg_data, creg_data)\n", - " return circuit\n", + " return circuits, np.array(reps)\n", "\n", "\n", - "circuit = build_error_correction_sequence(apply_correction=True)\n", - "circuit.draw(output=\"mpl\", style=\"iqp\", cregbundle=False, fold=-1)" + "num_cycles = 40\n", + "cycles_per_circuit = 4\n", + "nq_ref = 3\n", + "circuits, rep_array = build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=nq_ref, delay=5)\n", + "circuits[1].draw(output=\"mpl\", cregbundle=False, fold=50)" ] }, { @@ -307,132 +361,186 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 120, "id": "67b55eef", "metadata": { "slideshow": { "slide_type": "-" } }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", "\n", "pm = generate_preset_pass_manager(backend=backend, optimization_level=3)\n", - "isa_circuit = pm.run(circuit)\n", - "\n", - "isa_circuit.draw(\"mpl\", style=\"iqp\", idle_wires=False, cregbundle=False, fold=-1)" + "isa_circuit_ref = pm.run(circuits[-1])" ] }, { "cell_type": "code", - "execution_count": 8, - "id": "67acea4f", + "execution_count": 121, + "id": "3e74193a", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[56, 44, 62, 43, 63, 107, 22, 48]\n" + ] + } + ], "source": [ - "no_correction_circuit = build_error_correction_sequence(\n", - " apply_correction=False\n", - ")\n", - "\n", - "isa_no_correction_circuit = pm.run(no_correction_circuit)" + "init_layout = isa_circuit_ref.layout.initial_index_layout(filter_ancillas=True)\n", + "print(init_layout)" ] }, { - "cell_type": "markdown", - "id": "bcd61a1f", + "cell_type": "code", + "execution_count": 122, + "id": "a915100d", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[56, 44, 62, 43, 63, 143, 131, 31]\n" + ] + } + ], "source": [ - "### Step 3. Execute using Qiskit primitives" + "# get all qubits ordered by T1\n", + "t1_data_sorted = sorted(\n", + " [(i, backend.properties().t1(i) * 1e6) for i in range(backend.num_qubits)],\n", + " key=lambda x: x[1],\n", + " reverse=True\n", + ")\n", + "# exclude the qubits we have already mapped the error correcting code to\n", + "t1_data_sorted = [t1_data for t1_data in t1_data_sorted if not t1_data[0] in init_layout[:5]]\n", + "\n", + "# use the best qubits in terms of T1 for the reference qubits\n", + "init_layout = init_layout[:5] + [t1_data[0] for t1_data in t1_data_sorted[:3]]\n", + "print(init_layout)" ] }, { - "cell_type": "markdown", - "id": "e68d10d2", + "cell_type": "code", + "execution_count": 123, + "id": "d6a7766a", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Amplitude damping decoherence times code data qubits:\n", + "qubit 56: T1 = 322 mus\n", + "qubit 44: T1 = 263 mus\n", + "qubit 62: T1 = 290 mus\n", + "\n", + "Amplitude damping decoherence times reference qubits:\n", + "qubit 143: T1 = 442 mus\n", + "qubit 131: T1 = 410 mus\n", + "qubit 31: T1 = 401 mus\n" + ] + } + ], "source": [ - "Run the version with correction applied and one without correction." + "properties = backend.properties()\n", + "print(\"Amplitude damping decoherence times code data qubits:\")\n", + "for q in init_layout[:3]:\n", + " t1 = properties.t1(q)\n", + " print(f\"qubit {q}: T1 = {t1 * 1e6:.0f} mus\")\n", + "\n", + "print(\"\\nAmplitude damping decoherence times reference qubits:\")\n", + "for q in init_layout[-3:]:\n", + " t1 = properties.t1(q)\n", + " print(f\"qubit {q}: T1 = {t1 * 1e6:.0f} mus\")" ] }, { "cell_type": "code", - "execution_count": null, - "id": "d53319ba", + "execution_count": 124, + "id": "ee5da865", "metadata": {}, "outputs": [], "source": [ - "sampler_no_correction = Sampler(backend)\n", - "sampler_no_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", - "job_no_correction = sampler_no_correction.run(\n", - " [isa_no_correction_circuit], shots=1000\n", - ")\n", - "print(job_no_correction.job_id())" + "# now we transpile all circuits to this initial layout\n", + "pm = generate_preset_pass_manager(backend=backend, optimization_level=3, initial_layout=init_layout,)\n", + "isa_circuits = pm.run(circuits)" ] }, { "cell_type": "code", - "execution_count": 11, - "id": "437397a5", + "execution_count": 125, + "id": "67acea4f", "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "'DONE'" + "
" ] }, - "execution_count": 11, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "job_no_correction.status()" + "isa_circuits[1].draw('mpl', cregbundle=False, fold=50)" + ] + }, + { + "cell_type": "markdown", + "id": "bcd61a1f", + "metadata": {}, + "source": [ + "### Step 3. Execute using Qiskit primitives" ] }, { "cell_type": "code", - "execution_count": 12, - "id": "1bdb3596", + "execution_count": 126, + "id": "d53319ba", "metadata": {}, "outputs": [], "source": [ - "result_no_correction = job_no_correction.result()[0]" + "sampler = Sampler(mode=backend)\n", + "sampler.options.experimental = {\n", + " \"execution\": {\n", + " \"scheduler_timing\": True,\n", + " },\n", + "}\n", + "sampler.options.environment.job_tags = [\"TUT-REPCODE\"]\n", + "sampler.options.max_execution_time = 600" ] }, { "cell_type": "code", - "execution_count": null, - "id": "df7421d0", - "metadata": { - "slideshow": { - "slide_type": "-" + "execution_count": 127, + "id": "437397a5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "d86rni8p0eas73dlck0g\n" + ] } - }, - "outputs": [], + ], "source": [ - "sampler_with_correction = Sampler(backend)\n", - "sampler_with_correction.options.environment.job_tags = [\"TUT-REPCODE\"]\n", - "job_with_correction = sampler_with_correction.run([isa_circuit], shots=1000)\n", - "job_with_correction.job_id()" + "job = sampler.run(isa_circuits, shots=1000)\n", + "print(job.job_id())" ] }, { "cell_type": "code", - "execution_count": 14, - "id": "e1fe190e", + "execution_count": 128, + "id": "b1025c42", "metadata": {}, "outputs": [ { @@ -441,23 +549,13 @@ "'DONE'" ] }, - "execution_count": 14, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "job_with_correction.status()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "41c1df20", - "metadata": {}, - "outputs": [], - "source": [ - "result_with_correction = job_with_correction.result()[0]" + "job.status()" ] }, { @@ -467,85 +565,114 @@ "source": [ "### Step 4. Post-process and return result in desired classical format\n", "\n", - "You can see that the bit flip code detected and corrected many errors, resulting in fewer errors overall." + "We will now compare the error rates vs. time for three different scenarios:\n", + "1. Active, repeated error correction: data qubits in the 3-qubit repetition code\n", + "2. No error correction: individual reference qubits\n", + "3. Error correction only after final readout: reference qubits, treating the 3 reference qubits as a logical qubit encoded in the repetition code" ] }, { "cell_type": "code", - "execution_count": 16, - "id": "fa59fb42", - "metadata": { - "slideshow": { - "slide_type": "-" - } - }, + "execution_count": 129, + "id": "ea871eb9", + "metadata": {}, "outputs": [], "source": [ - "def decode_result(data_counts, syndrome_counts):\n", - " shots = sum(data_counts.values())\n", - " success_trials = data_counts.get(\"000\", 0) + data_counts.get(\"111\", 0)\n", - " failed_trials = shots - success_trials\n", - " error_correction_events = shots - syndrome_counts.get(\"00\", 0)\n", - " print(f\"Bit flip errors were detected/corrected on {error_correction_events}/{shots} trials.\")\n", - " print(f\"A final parity error was detected on {failed_trials}/{shots} trials.\")\n", - " recover_input_trials = data_counts.get(\"111\", 0) + data_counts.get(\"110\", 0) + data_counts.get(\"101\", 0) + data_counts.get(\"011\", 0)\n", - " print(f\"Results consistent with input state after error correction based on final measurements on {recover_input_trials}/{shots} trials\")" + "results = job.result()" ] }, { "cell_type": "code", - "execution_count": 17, - "id": "5b1ff3a3", + "execution_count": null, + "id": "f27099e5", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Completed bit code experiment data measurement counts (no correction): {'111': 923, '010': 9, '110': 12, '011': 23, '101': 28, '001': 3, '000': 1, '100': 1}\n", - "Completed bit code experiment syndrome measurement counts (no correction): {'10': 24, '00': 945, '01': 27, '11': 4}\n", - "Bit flip errors were detected/corrected on 55/1000 trials.\n", - "A final parity error was detected on 76/1000 trials.\n", - "Results consistent with input state after error correction based on final measurements on 986/1000 trials\n" - ] - } - ], + "outputs": [], "source": [ - "# non-corrected marginalized results\n", - "data_result = result_no_correction.data.data.get_counts()\n", - "marginalized_syndrome_result = result_no_correction.data.syndrome.get_counts()\n", - "\n", - "print(f\"Completed bit code experiment data measurement counts (no correction): {data_result}\")\n", - "print(f\"Completed bit code experiment syndrome measurement counts (no correction): {marginalized_syndrome_result}\")\n", - "decode_result(data_result, marginalized_syndrome_result)" + "def correct_counts(counts_dict):\n", + " result = {'000': 0, '111': 0}\n", + " for bitstring, count in counts_dict.items():\n", + " key = '111' if bitstring.count('1') > 1 else '000'\n", + " result[key] += count\n", + " return result\n", + "\n", + "accuracy = [] # logical qubit\n", + "accuracies_ref = np.zeros((len(results), nq_ref)) # accuracies on individual reference qubits\n", + "\n", + "for n, pub_result in enumerate(results):\n", + " # logical accuracy (one minus error probability) for active error correction with repetition code\n", + " counts = pub_result.data.cdata.get_counts()\n", + " shots = sum(counts.values())\n", + " counts_corrected = correct_counts(counts)\n", + " accuracy.append(counts_corrected.get('111', 0)/shots)\n", + "\n", + " # accuracy for individual physical reference qubits without any error correction\n", + " for i in range(nq_ref):\n", + " counts = pub_result.data.creference.slice_bits(i).get_counts()\n", + " accuracies_ref[n, i] = counts.get('1', 0)/shots\n", + "\n", + "accuracy = np.array(accuracy)" ] }, { "cell_type": "code", - "execution_count": 18, - "id": "7f1c2d48", + "execution_count": null, + "id": "72ad282b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Completed bit code experiment data measurement counts (corrected): {'111': 883, '101': 53, '000': 17, '100': 1, '110': 7, '011': 30, '001': 3, '010': 6}\n", - "Completed bit code experiment syndrome measurement counts (corrected): {'00': 933, '10': 24, '01': 39, '11': 4}\n", - "Bit flip errors were detected/corrected on 67/1000 trials.\n", - "A final parity error was detected on 100/1000 trials.\n", - "Results consistent with input state after error correction based on final measurements on 973/1000 trials\n" + "Best-fit effective T1 = 1397 us\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# corrected marginalized results\n", - "corrected_data_result = result_with_correction.data.data.get_counts()\n", - "corrected_syndrome_result = result_with_correction.data.syndrome.get_counts()\n", - "\n", - "print(f\"Completed bit code experiment data measurement counts (corrected): {corrected_data_result}\")\n", - "print(f\"Completed bit code experiment syndrome measurement counts (corrected): {corrected_syndrome_result}\")\n", - "decode_result(corrected_data_result, corrected_syndrome_result)" + "def error_proba_t1(N, t1):\n", + " \"\"\"simple exponential fitting function for amplitude damping vs. number of cycles\"\"\"\n", + "\n", + " t_cycle = 7.3e-6 # approximate time per cycle on Heron r3, including the delay\n", + " return 1 - np.exp(-t_cycle * N/t1)\n", + "\n", + "fig, ax = plt.subplots(1, 1, figsize=(15, 5))\n", + "ax.plot(rep_array, (1. - accuracy) * 100., 'ko-', linewidth=3, label='rep code')\n", + "\n", + "for i in range(nq_ref):\n", + " accuracy_1q = accuracies_ref[:, i]\n", + " if i == 0:\n", + " ax.plot(rep_array, (1. - accuracy_1q) * 100., 'go-', linewidth=1, label='1q reference')\n", + " else:\n", + " ax.plot(rep_array, (1. - accuracy_1q) * 100., 'go-', linewidth=1)\n", + "\n", + "params_bf, pcov = curve_fit(error_proba_t1, rep_array, 1. - accuracy, bounds=([0, 5e-3]))\n", + "t1_bf = params_bf[0]\n", + "print(f\"Best-fit effective T1 = {t1_bf * 1e6:.0f} us\")\n", + "error_prob_bf = error_proba_t1(rep_array, t1) # np.array([1 - np.exp(-t_cycle * nt/t1) for nt in rep_array])\n", + "ax.plot(rep_array, error_prob_bf * 100., 'k--', linewidth=1)\n", + "\n", + "ax.set_xlabel('error correction rounds')\n", + "ax.set_ylabel('error [%]');\n", + "ax.set_ylim(bottom=0)\n", + "ax.legend(fontsize=15);" + ] + }, + { + "cell_type": "markdown", + "id": "49c2f443", + "metadata": {}, + "source": [ + "* Note impproved lifetime (but remember, just a demonstration of correcting one type of error; just protecting classical information)\n", + "* Can you do better by e.g. scaling up the code, tweaking the delay time, etc?" ] }, { From f4862db72aaed9c6a30294d6cb1062187d3b08a6 Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Wed, 20 May 2026 11:21:09 -0400 Subject: [PATCH 06/13] added more documentation/explanation --- docs/tutorials/repetition-codes.ipynb | 173 ++++++++++++++++---------- 1 file changed, 110 insertions(+), 63 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index b1fb7ad361c..0369cce1029 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -146,35 +146,55 @@ }, { "cell_type": "markdown", - "id": "simulator_section_6", + "id": "8af23cd0", "metadata": {}, "source": [ - "## Small-scale simulator example\n" + "### Step 1: Map classical inputs to a quantum problem" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "689b8355", + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", - "id": "4d01e8d3", + "id": "02427c7e", "metadata": {}, "source": [ - "### Step 1. Map classical inputs to a quantum problem" + "#### Choose a backend\n", + "To detect errors during the circuit, we need to choose a backend that has access to the `MidCircuitMeasure` method (see the [documentation](docs/guides/execute-dynamic-circuits#mid-circuit-measurements))." ] }, { - "cell_type": "markdown", - "id": "cdee0b18", + "cell_type": "code", + "execution_count": null, + "id": "1512c805", "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ,\n", + " ]" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "#### Build a bit-flip stabilizer circuit\n", - "\n", - "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state (the \"data qubits\"), and the remaining two are used as stabilizer measurement ancillas.\n", - "\n", - "Below you will build a circuit that (1) prepares the data qubits in the logical $|1 \\rangle$ state, (2) applies a cycle of error correction (including reset of the syndrome qubits), and (3) reads out the state of the data qubits." + "# You can see all backends that support mid-circuit measurements by running the following code.\n", + "service.backends(filters=lambda b: \"measure_2\" in b.supported_instructions)" ] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "id": "b588703a", "metadata": {}, "outputs": [ @@ -182,7 +202,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "ibm_kingston\n" + "ibm_boston\n" ] } ], @@ -195,12 +215,27 @@ " simulator=False,\n", " dynamic_circuits=True,\n", ")\n", + "# backend = service.backend(backend_name) # alternatively, you could choose a specific backend\n", "print(backend.name)" ] }, + { + "cell_type": "markdown", + "id": "09b920c2", + "metadata": {}, + "source": [ + "#### Build a sequence of bit-flip stabilizer circuits implementing multiple rounds of error detection and correction\n", + "\n", + "The bit-flip code is among the simplest examples of a stabilizer code. It protects the state against a single bit-flip (X) error on any of the encoding qubits. Consider the action of bit-flip error $X$, which maps $|0\\rangle \\rightarrow |1\\rangle$ and $|1\\rangle \\rightarrow |0\\rangle$ on any of our qubits, then we have $\\epsilon = \\{E_0, E_1, E_2 \\} = \\{IIX, IXI, XII\\}$. The code requires five qubits: three are used to encode the protected state (the \"data qubits\"), and the remaining two are used as stabilizer measurement ancillas.\n", + "\n", + "Below you will build circuits that (1) prepare the data qubits in the logical $|\\bar{1} \\rangle$ state, then (2) run multiple cycles of a $5 \\mu s$ delay followed by error correction (including reset of the syndrome qubits), and (3) read out the state of the data qubits.\n", + "\n", + "We will also test the lifetime of the $|1\\rangle$ state without using error correction by including 3 reference qubits that we prepare in the $|1\\rangle$ state, leave idle, and then read out." + ] + }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 194, "id": "d36817e7", "metadata": {}, "outputs": [], @@ -277,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": null, "id": "0e8ea0be", "metadata": {}, "outputs": [ @@ -288,7 +323,7 @@ "
" ] }, - "execution_count": 119, + "execution_count": 195, "metadata": {}, "output_type": "execute_result" } @@ -332,7 +367,7 @@ "num_cycles = 40\n", "cycles_per_circuit = 4\n", "nq_ref = 3\n", - "circuits, rep_array = build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=nq_ref, delay=5)\n", + "circuits, rep_array = build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=3, delay=5)\n", "circuits[1].draw(output=\"mpl\", cregbundle=False, fold=50)" ] }, @@ -359,9 +394,17 @@ "#### Generate ISA circuits" ] }, + { + "cell_type": "markdown", + "id": "cc8f818f", + "metadata": {}, + "source": [ + "We will start by finding an initial layout (i.e. selection of physical qubits to map our circuits too) by transpiling the longest of our circuits using the preset pass manager with optimization level 3." + ] + }, { "cell_type": "code", - "execution_count": 120, + "execution_count": 196, "id": "67b55eef", "metadata": { "slideshow": { @@ -378,7 +421,7 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 197, "id": "3e74193a", "metadata": {}, "outputs": [ @@ -386,7 +429,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[56, 44, 62, 43, 63, 107, 22, 48]\n" + "[56, 44, 62, 43, 63, 22, 48, 67]\n" ] } ], @@ -395,10 +438,18 @@ "print(init_layout)" ] }, + { + "cell_type": "markdown", + "id": "eaca173c", + "metadata": {}, + "source": [ + "For the reference qubits that we will compare our logical quantum memory to, we will choose them to be the best available qubits in terms of amplitude damping coeherence time ($T_1$)." + ] + }, { "cell_type": "code", - "execution_count": 122, - "id": "a915100d", + "execution_count": null, + "id": "2aedd3cb", "metadata": {}, "outputs": [ { @@ -411,11 +462,16 @@ ], "source": [ "# get all qubits ordered by T1\n", - "t1_data_sorted = sorted(\n", - " [(i, backend.properties().t1(i) * 1e6) for i in range(backend.num_qubits)],\n", - " key=lambda x: x[1],\n", - " reverse=True\n", - ")\n", + "t1_data = []\n", + "for i in range(backend.num_qubits):\n", + " try:\n", + " t1_us = backend.properties().t1(i) * 1e6\n", + " except:\n", + " t1_us = 0.0\n", + " t1_data.append((i, t1_us))\n", + "\n", + "t1_data_sorted = sorted(t1_data, key=lambda x: x[1], reverse=True)\n", + "\n", "# exclude the qubits we have already mapped the error correcting code to\n", "t1_data_sorted = [t1_data for t1_data in t1_data_sorted if not t1_data[0] in init_layout[:5]]\n", "\n", @@ -426,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": null, "id": "d6a7766a", "metadata": {}, "outputs": [ @@ -447,6 +503,7 @@ } ], "source": [ + "# These are the resulting T1- times\n", "properties = backend.properties()\n", "print(\"Amplitude damping decoherence times code data qubits:\")\n", "for q in init_layout[:3]:\n", @@ -461,30 +518,30 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": null, "id": "ee5da865", "metadata": {}, "outputs": [], "source": [ - "# now we transpile all circuits to this initial layout\n", + "# now we transpile all circuits to this initial layout; this way each circuit is run on the same qubits and we can make a fair comparison\n", "pm = generate_preset_pass_manager(backend=backend, optimization_level=3, initial_layout=init_layout,)\n", "isa_circuits = pm.run(circuits)" ] }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 180, "id": "67acea4f", "metadata": {}, "outputs": [ { "data": { - "image/png": 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X9e/fXydOnNC4cePUp08frV69WnFxcTp16pR++uknXXLJJcrMzCxw7B07dqhjx46688479eeffyo2Nlbx8fHauXOnnnnmGV188cXKyPDsX9/27t07fyBicZYvX6727dtr586dHo2ppB5//HElJCToxRdfVKVKlc65bV4ZjouLK3R9SEiIqlWrJklatGiRewNFhatXr55efvll1atXz+pQ3OK8Qd1lOBzaM3uZUvbmdshmn0rX/vnrXF6ZJ1JlBDiUk17wflOjW3M1uPJ8rZ72lX4a8qSWjnlff3/xm1L2HlJIdGSB7Xd8M1+VGtRS5SZ1VLd/J+36/i+Z2b7zxC5/KwMlFdm0m6peeKOS//xMKVsWF7qNMytDO567UpEteqnW1aMqOEL3C4wIVebJgoPBVz//pY5u3K0u4/6piLhqLuua3tRfcRe21dqXvtHRdd5Rp7mLHcuA3e04mTtjW0l9tkP6bb/n4rHCEyulQ+kl2zYhVZqw2qPhVDjug664D57mS+2h4MoRqhRfU0fW7iiw7sjaHarWtoEFUQG+J+lImkZOWaya1cI15YEuun1YU13ctbbGvr5Sa7YU3rcH+CtfqgcBAPAEf6sLyZOUnr+VgZKyY98Q/YOn2fHzhzR5nfT3yZJtezxLemRZ7kxn/mL5YemNLSXf/qWN0jo/6ybiPnga98HTfK0tRJ4EcA/yJMBpvlYXAgCK57WD2w4fPqxBgwYpKSlJjzzyiA4cOKCVK1cqKSlJEyZM0DfffKPVq1fL4XCoVatW+fuNHDlS69ev1/Dhw5WYmKgtW7Zo+fLl2r9/v/bs2aPJkyfnz2pVqVIlNWvWTFLuoKazpaamatSoUTIMQ9OmTctfvnr1akm5M8RNnDhRn332mfbv369ly5Zp3759Gjgwd6rzd9991+V4hw4d0qBBg7R//3498MAD2r9/v1auXKkDBw5o7NixmjZtmtasWVPgms4+5+TJk/X2228rKSlJy5Yt04EDB9SyZUvt3LlT/fv31/bt23XvvfcqMTFRq1ev1s6dOzV37lyFhobqzTff1M8//1zosbOysjRlyhTNnDlTe/fu1apVq7R69WpFRkYqMTFR119/vf773/9q5syZ2rNnj1atWqVVq1YpMjJS27dv12+//eZy3OTkZA0cOFDr16/X7bffrsTERG3evFlbtmzRunXr1LhxYy1evFivvvpqSYpEhfj000+1Zs0a9e7d2/IBbosXL9brr7+uSy65RFdffXWx21epUkWStG9f4U9qzMjI0OHDuY/yyhsYCt+Vk5OjlJQU5eT4TpKxKGHVq6j9w9fqVOIR7fhmvg6v2a7UA0fV/LZLFRgemr9dUGSYer/5gHq9cI+chSRXQ6KjJEnHtya4LG/8j4sUFBEmI9C1ytv1/V/KychSu5FXKyy2inZ8u8ADV+c5/lQGSqvWtU9KjgAlfvJkoev3vHaXnFnpir/v/YoNzEPqXNRe+35dVWC5MytbC+57RQGhwer5wj35yyPrVVenMcN1ZN0OrXmp6JlkfZndyoDdfbUzd1a20vi8YE7EZ206Jq0pZR/0giQp4ZRHwrEE98GCuA/m8qX2UHjNqpKk1AMFf6FTDyYruFKEgqJ4ohxQEh/O/Fs/zt+rW4Y00dQHu2jhqiRNfm+d1WEBFc6X6kEAADzBn+pC8iRl409loLTs1jdE/6Aru33+dnckXfql8D8BKdKOk9KyYmZ58yVlyfl86T9juSRxHzwb98FcvtYWIk8CuA95EiCXr9WFAIDiee3gtnvvvVd79+7VAw88oEmTJiky8vTT5J544gk1a9ZM2dnZatKkicLCwiRJpmnqm2++UVBQkN58803Fxsa6HLNOnTp6+OGHXZZ17dpVUuGD26ZMmaKEhATdcMMN6ty5c/7yvNnVsrKy9Pnnn+vqq6+WYRiSpLCwMN11112SpN27d7scb8SIEdq7d6/uueceTZ06VVFRuQkGwzA0ZswYNW/eXFlZWWrUqJEiIiJc9s07Z05Ojt58803ddtttcjhyPz6HwyHDMHTrrbcqKSlJI0eO1EsvvZQ/2EmSLr74Yt1+++2SpM8//7zQYzudTn355ZcaNGhQ/rrmzZvnD9b7+eef9dVXX7msb9GihQYMGCBJBWZGu++++7R161aNGDFCb731lsvn0bx58/wBg9999528xdSpU3Xbbbdpz549lg5wy8rK0u23366QkJASD/7r0qWLpNyyfHbZk6Rvv/1WTmfutNPJycnuCxaW2LZtmy666CJt27bN6lBKpd7ALmow7Hw1GHa+Gt/QV52euklX/DpVwZXD9cfdLyonPVNmdo6WjH5HEXWq6fJfJqvV3Veo+W2X6tKZExVZJ1bLxn0gM6fgFOoHl21R5olT6jzuZrW6Z4ia3NhXF7x6n7pPulPZaRkKighz2T7z+Cnt+22V6g/pqZSEQzq4ZFNF/RjcwlfLgDuE1mqkqudfp5Nr5urkhvku6w5+/18dX/6DGj7+nRwhvtfxGVypYMwxbRrqyJrthW5/dP1OrX3pG9U+v7Wa3XKJZBjq9dJ/5AgM1Px7X/Gpp+yWhj+XAbhKzZZ+TCh+u7OtOJKbvPUHX+8q/T5mGffzBtwHS4b7YC5fag8FRea2RbPTCs5cnve0/cDwkAqNCfBl/564SKZpqlJksO6btFhOpx89jhwoIV+qBwEA8ARfrQvJk7iPr5YBd/DnviH6B4vnz58/Cpq5V8ouQ7fHV7vcHoolktKkPw+Ufr+5+6Xkgl2xPoH7YPG4D+bytbYQeRLAvciTAL5XFwIAihdodQCF2bhxo7744gtVr15dEyZMKLDeMAx17NhRmzdvVtu2bfOXZ2VlKSsrSzk5Ofr111916aWXFnuubt266b333tOyZctclu/bt0+TJ09WWFiYnnnmGZd1eYPBrrnmGvXv37/AMTMzc79wVa5cOX/Z+vXr9eWXX6pq1ap69tlnC72mLl26aP369WrXrl2B9Xnn7Nevn4YPH15g/fz58/X777+ratWqmjhxYqHX2rFjR0kqMGAr79jXX3+9LrroogL7hYSEnHN9QECAJCk09PSTA9evX6+PP/5YNWrU0KRJkwqNJ+86ExJO/8VyQkKCJk+erOXLl2v16tVKS0vTzp07FR8fX+gxSmPjxo06duxYsdvdc8892rJlixYsWKDevXvr999/V/369ct9/tJ47rnntGHDBj399NNq0KBk064PHjxYderUUUJCgq6//np9+eWXqlOnjiRp4cKFGjlyZP62qamp5YqvcePG+YMrUX7BwcEaP368GjRooK+//rpET5I4ePCgJOmnn37SihUrit0+ICBAw4YN0y+//KIxY8bk36fcJch06Cl1KXa7LuNvyf9/5slUnUo8oj2zl2v9q9/pxI79+et2z1qiOddNVJv7rlTbkVfJdDqVvHmv5v1zkhLmFn696YePa+6Nz6jj6BvV9v5hysnM0ont+/XHXS+oWofGanH7ZQqLraK0Q8fy99n+9XzVu6SLdn63sMTX2qRxE2UZBZPG5eEPZeBcjOAw1XjRvV8ia179hI7O/0yJn45R06dzZw49ufY3JXz4qBo/+aNCasSX+dhNmjSWmZnmpkhL/vsRd1F7nf/yCM246EGlJeUOQjYcDpnOc5e3tS99rboDOqnj6BtVqUFt1ezWQiue+UTHNu8pc8zuLOee+Pwl3yoDKLvAuOaq9sScMu3bf/h/lL78O/cGZIGYx35UUL02pd7v7R/+1JQB//BARKXHfZD7YHHK0haSStceqoi20LnKuuHIfSCOzHMklkg6eb3S3hv+aNlR9UJO95XccsvNmnfcfg+bcSpIqjrarce8fmADBQTk9kv85/rmuuXJ+cXsUTqNmzSRQ1lFrv+ySSt1jjzd7/fYY4/ps9tvKXJ7oDj+3i8AAGcaesv9ioispP0H9qtOnToF3sN+/OE7YUn7PiTfz5N4S45E8q4ycC70Dfle/6C7y7mv5ckk8iTepMrt/1Noh0HFb3iWOet2q87Qnh6IqGIFt7xIVe/5sNT7ZTmlDpdcpaxtiz0QVemUpp3AfbDk/O0+6A99Q8WVdfIk/qE094fB0dX0Uv2m+e83btigy2z6vd/f8iRdIyvp8yat898fOXJUnWz62cI9/L1fAADO5o95EucZ31u//fZb3XjjjWU6jlcObvvkk0/kdDp14403Kjy88Keo5A24OnNwW3BwsK644gp98803GjRokPr27auhQ4dq0KBBqlu3bqHHKWrmtlGjRik1NVWjR48usG/eYLDrrruu0GNu3LhRktSkSZP8ZZ9++qlM09QNN9yQP2Pb2YKDgwtcU57Vq1dLkm666aZC9/3ss88kSbfddluxP7MzB6Gdeexrr7220P22bNlyzvV5o94bNWqUvyzvep1Op/r161fofhkZuU9iOXOWur///ltffPGFOnbsqAsvvFA///xzofuWxWWXXVbqffbs2aM777xTc+aU7Y+qy2LLli16+umn1bx58wIzDZ5LSEiIvvzySw0cOFB//fWX4uPj1aRJE506dUp79uxRlSpVdMUVV2jGjBlFlsGS2r9/f/EbocSCg4N16tQpZWVlKTU1VdnZ2cXuk5aWlv/vqVOnit0+MDBQWVlZOnXqlPbt2+f2xnmwESDVKHr9gvtf1YL7SzYLYZ79C9Zp/4JzT5k+vcvdLu8PLtuin654ssB2u77/S8vHFdLpbeZWptu//rPEcSXuT1Sm6d6nm/lDGTgXR0j4uYpHoaJa91bHGUV3XIbVba6O357+HDKSdmnHlGtU5+YpimrTp4yR5kpMTJQzo3yDgM9U3O9HnkPLt2jf72tUt38nbf0ot96p3rWZDi7dfM79zBynFtz7ii6fPVktbr9Uh1Zu0/pXZ5QrZneW87J8/pJ/lQGUXUREHVUr477HUtN1ZN8+t8ZjhcpGkILKsF+WEah9XnL93Ae5DxanLG0hqXTtoYpoC52rrGelpEuSAkKDC6zLW5aVwh8MebvS3huym7aVznjQ7JEjR7QvyYbfp41gqar7DteqcbTG3d1Bvy5NlNNp6uYrmujL2Tv104IyTPdahP2JiZJZ9H0i47wmUuTp98eOHfOaehe+yd/7BQDgTM7//+MUZ06O9u3bV+A97McfvhOWpO/DX/Ik3pIjkbyrDJwLfUO+1z/o7nLua3kyiTyJNwlzGgotfrMCzIAQv2hbVal3qszdSkdPnNIJL/gZlPQeKHEfPJPd7oP+0DdUXFknT+IfSnN/SFaAdMZ8AllZWX5RN5WJn+VJDsdkSqf/NFpOJ306KB9/7xcAgLP5e57kxRdf9K/BbfPmzZMk9elT9JfNvNm+zh4I9sknn+i5557T22+/rTlz5mjOnDm6++671bt3bz333HP5g9nytGrVSpGRkUpISFBSUpJq1KihFStW6KOPPlLNmjX16KOPumyfkZGhzZtzOw169+5daGx5g8XOnIHt119/lST17du3yGvasWNHodeUlZWlTZs2yTCMImejW7gw92l6F198cZHHT0xMlCTVq1evwLEl6YILLiiwT05OjtatWyfDMApdn52drY0bN8owDLVpc3pGibzP8NChQzp06FCRMUlymZXtggsuUFJSkiTp/fffd+vgtoEDBxY58O9smzdv1oYNGySd+2fqCf/+97+VkZGh119/XUFBpftT5u7du2vVqlV67rnnNHv2bG3fvl1VqlTR8OHDNX78eI0ZM0aSVLNmzXLFWKtWLWZuc6Pg4GBFREQoKChI4eHhJXryRF5jPCwszGWAaFECAgIUFBSkiIgIxcXFeeQJTHLvgzorRJPh/XV4zfZSPbGsdq3aHnkqqa+XgXMxgsM8enxnRqq2PztElbsMVvXL/lPu49WuXdvtTyQtye9H5olU7fxmvprdckl+sqJWz1Za9/K3xe6blZKmnMwsBYQEad9vq4p9el9x3FnOPf35S95fBlB2ARG5iQzTNGUYRqn2rRzsUGhcnCfCqlABWcUnowoTmJWqOC+5fu6D3AeLU5a2kFS69lBFtIXOVdZP7cv9XhxWI7rAuvAaVZVxLEXZaRlujwnuVdp7Q2Cga7dbTEyM4gLt913aqSC5a0hfUKBDHz19oZxOU3dNyO0LW/PVUL0xpqdaDv1GJ08VPdtaadSqXfucM7eFhLj+AUaVKlUUl+0d9S58k7/3CwDAmRwBAfn/xsXFFXgP+/GH74S+miORSp8n8ZYcieRdZeBc6Bvyvf5Bd5dzX8uTSeRJvEmws2x9hkbGSb9oWwWHBpR536phQYrygp9BadoJ3AfLxh/ug/7QN1RcWSdP4h9Kc3+Ijnb9rIOCgvyibioLf8uTVIus5PLe4aBPB+Xj7/0CAHA2f8yTOJ3O/MmT7r///jIfxysHt+3evVuS66CnM2VkZGjJkiWSCg4ECw0N1dixY/XUU09pxYoV+v777/XGG2/o999/V//+/bVlyxaXgT0BAQHq1KmTfv/9dy1btkyDBg3SyJEjZZqmJk6cqMjISJfjb9y4UdnZ2YqPj1eVKlUKjS9vcFv79u3zl+3Zk5sQaNCgQaH7pKamatGiRZJcB8VJ0oYNG5SVlaUGDRqoatXCH+Gwd+9eSSpyhjrp9AC4nj17FnrsypUrF9hn06ZNSk9PV8OGDQtdv3HjRmVkZKhhw4Yus4HlxbN7926XwXTF8eSAqddee63IMnWmFStW5A9CHDt2rB577DGPxVSYlStXyuFwFDpTXkpKiiRp0aJF+eV469atqlTp9BeG+vXr64033ij02MuWLZMkderUqVwxbtu2rUQdIyidgwcP6vrrr5dpFv30qTybN2/WZ599poEDB6pZs2bFbm8YhurVq6cePXqUeTT0uWSlpuuThu4/ricYAQ5d+PpIRcRVU2yHxvr9zqml2n/rtq0KCi/L8/GK58tl4FzSsqXzf/Tc8ZMXfa20nWuUvm+rkhd8UWB9y1c2Kji25HXR1q3bFObGFlJpfj/2L1inXv8docCIUGWfSldASLByMorveOo57W4FhAQpectetb5niHbOWKjj28r+BAd3lnNPf/6S95cBlJ3TlK76VdpzqnQD20Ic0qpv3lSlgg/+8znvbZNe3VT6/cbd0FfDnnDfk9nKg/sg98GSKk1bSCpde6gi2kLnKuuZJ1J1cneSYloX7BOIaV1fR9Zs90hMcK/S3huy7hghJR3Mf//ee+/L0aWjJ0LzaqdSsxTZrZAZIspg7N3t1a5ZjB6aukTbdp/IXfb6Kk0a2VlTH+qqO8ctcMt5tm3dqojwoh84lP3YUzI3nn5i9nPPPacpl/Rzy7lhb/7aLwAAZ3rm1U90IuWUatWspYSEhALvYV++/J3Ql3IkUvnyJN6SI5G8qwyckrXrLAABAABJREFUC31Dvtc/6O5y7mt5Mok8iTf5ZZ80akXp97ulZ2Pd5wdtq/Qc6dJfpBOl/Dv9mBBp8Z8z5Q3PmSptO4H7YOn5033Ql/uGiivr5En8Q2nuD84/Fihn6sv571u0bKmEubM8FZpX87c8iXPdBuU8MT7/fUxMVfp04Bb+2i8AAGfzxzzJqVOn8sddDR06tMzH8cruqLzR1Onp6YWu//jjj3X8+PHcJ14XMTrRMAx16tRJnTp10n333afWrVsrMTFRy5Yt0+WXX+6ybdeuXfX7779r+fLlSk9P1/z589W2bVvdcsstBY67Zs0aSa4D1850/Phx7dy5U2FhYWratGn+8pMnT7pc29k+/PBDpaSkFHpNeec8e9DbmfIq86KOn5CQoFmzZikkJESDBw8u8bFXrVolqejrLWyWOun0IKy8aV99xcqVK9WvXz8dO3Ysf5CkFZxOZ/4MdoXJysrKX+8s4dOWNmzYoM2bNyswMLDIGQDhOxo1aqTZs2e7DCpFyZg5TlWqX1OR9aprzQvTtev7v6wOqUwoA6fF9BmumD7DrQ7DLXIysnTgrw2K69Nex7bs0fG/i084NLv5EtW+oI1WTv5cu2Yu0uA5U9Trxf/ox8ufKPfMRb7Cn8oAXDkMaVi89MKG0u13SR35xcA2SbqinvTGZim7ZH13kqSIQGlgHc/F5EncB8vGrvdBX2sP7Z61WC3uuEyVG9XW8b9zZ1avdX5rVW4Up/WvzbA4OsD7dWtTXY/c3EaL1x7UtA/X5y9//oN1urp/vO4Y1lRfzt6huYsTLYwSqDi+Vg8CAOBu1IVlR57E//hT3xD9g6XnT58/CupTK3eg1pFSTGZkKDe34g9CA6TB9aSPSznm5crz5BUD28qC+2Dp2fU+6IttIfIkQPmQJwFc+WJdCAA4N6/8Kp83I9Xy5csLrNu7d68ef/xxSVKbNm1KdLzo6GgFB+f+dWtsbGyB9d26dZOUO7PZo48+KkmaOnVqobOIFTcYLG+wV+vWrRXw/1MESqevafHixQX2SUxM1JgxYyQVnInuzHMWNcBMkho3biwpd9axszmdTt11113KzMzUnXfe6TL7W0mvp6hzF7V/3mxtc+fOLTJmb/Thhx8qOTnZ0oFtx44dk2mahb7yYrrwwgvzlxU1g+CZTNPMn4Hu2muvVa1atTx5CagAgYGBio6OVmCgV45R9noz+z2sT5v+U6smf251KGVGGfBfe2cvU71LOqvOxR21d+65H8UYdV4NdRx9gw6v2a51//1GJ7YnatXkLxTbobFa3T34nPsCvmJwPalmWMm3DwuQbmzouXgqWtUQ6er6pdvnxoZSuA9XD9wHUVK+1h5a99oMZRxLUf8vn1KLfw1S63uvVJ+3HtKRdTu0/es/rQ4P8GphoQH6YOIFys5x6pYn/9SZD2x0Ok3d9tQCZWbl6K2neinyHDOuAf7E1+pBAADcjbqwfMiTwJvRPwicFuSQbmlcun0uqyvVifBMPFa4rr5UqRTdPVWDfX9wH/dBlIQvtoXIkwBlR54EKMgX60IAwLl55eC2vn37SpKeeeYZbd26NX/54sWLddFFF+nYsWOSXAeCffDBB3r00Ue1ceNGl2MdPXpUd9xxh3bt2qXmzZurS5cuBc6XN7ht7ty52rFjhwYNGqSLL7640NiKG2hW1Exm/fv3lyQ9++yz+ceQcmdG69u3rw4dOlTofuc65pmuvfZaSbk/szN/BomJiRo2bJhmzZqltm3b6umnny702EVdT1lnbrv66qslSY8//ri+/vrrAvtt2bJFY8aM0aJFi4q8Jne57bbbNGHCBEVHRxe77bRp0zRjxgzLBraV148//qi//nJ9uuKhQ4d000036YcfflBsbKymTp1qUXRwp4SEBD344IM+O/0oyo8y4L8S5q5QXO+2Cq8ZrYwjJ4re0DDU66X/yBEQoAX3viwzJ/epexve+F4Hl21RuwevUeUmPjp1E3CGqCDppa65TyYtTrBDmtRZqu9nD2W6r0Xu01lL4vK60m1NPBuPp3EfREn5Wnso48gJ/TR0jJI37lb7h69Vizsu057ZyzTnH0/LmZltdXiAV5s8souaxFfW2NdXafPO4wXWr916VJPeXav4uChNfqCzBRECFc/X6kEAANyNuhCUAf9F/yDg6tr60vUNSrZt11jp8ZI9J9xn1AyXpnUp2UP9KgVJL3SVqoV6Pi5P4j6IkvDFthB5EqDsyJMABfliXQgAODevHNz22GOPKTo6Wnv37lXLli3VunVrNWrUSN27d1fz5s3Vq1cvSa6D2/744w9NnjxZLVu2VPXq1dW5c2e1bNlStWvX1jvvvKO4uDhNnz690NnYatasmT/TWGBgoKZMmVJkbMUNbitqMNhjjz2mmJgYJSUlqWPHjmrRooWaNm2qDh06KDk5WZ07dy5wTXnWrl0r6dyD20aMGKEePXpo7969atOmjZo3b642bdqoXr16+u6779S1a1f99NNPBaZfLe7YZZ257eGHH1aPHj108uRJXXXVVYqJiVGnTp3Uvn17xcTEqFmzZpowYYLq1y/lNBRlMHz4cI0ePVqVK1cudluHw6HBg93z5KKFCxeqWrVq+a/PP8998uG0adNcli9cuNAt55OkX375RT169FC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" ] }, - "execution_count": 125, + "execution_count": 180, "metadata": {}, "output_type": "execute_result" } @@ -503,35 +560,23 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": null, "id": "d53319ba", "metadata": {}, "outputs": [], "source": [ "sampler = Sampler(mode=backend)\n", - "sampler.options.experimental = {\n", - " \"execution\": {\n", - " \"scheduler_timing\": True,\n", - " },\n", - "}\n", + "\n", "sampler.options.environment.job_tags = [\"TUT-REPCODE\"]\n", - "sampler.options.max_execution_time = 600" + "sampler.options.max_execution_time = 600 # this workload is expected to be under 10s, but it is generally a good habit to set a max execution time (here 600s = 10m)" ] }, { "cell_type": "code", - "execution_count": 127, + "execution_count": null, "id": "437397a5", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "d86rni8p0eas73dlck0g\n" - ] - } - ], + "outputs": [], "source": [ "job = sampler.run(isa_circuits, shots=1000)\n", "print(job.job_id())" @@ -539,7 +584,7 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 201, "id": "b1025c42", "metadata": {}, "outputs": [ @@ -549,7 +594,7 @@ "'DONE'" ] }, - "execution_count": 128, + "execution_count": 201, "metadata": {}, "output_type": "execute_result" } @@ -565,15 +610,12 @@ "source": [ "### Step 4. Post-process and return result in desired classical format\n", "\n", - "We will now compare the error rates vs. time for three different scenarios:\n", - "1. Active, repeated error correction: data qubits in the 3-qubit repetition code\n", - "2. No error correction: individual reference qubits\n", - "3. Error correction only after final readout: reference qubits, treating the 3 reference qubits as a logical qubit encoded in the repetition code" + "We will now compare the error rates vs. time between the logical memory using the 3-qubit repetition code on the one hand, and the individual unencoded reference qubits on the other hand." ] }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 202, "id": "ea871eb9", "metadata": {}, "outputs": [], @@ -589,6 +631,10 @@ "outputs": [], "source": [ "def correct_counts(counts_dict):\n", + " \"\"\"\n", + " Corrects the measured logical qubit encoded in the repetition code using majority vote\n", + " \"\"\"\n", + " \n", " result = {'000': 0, '111': 0}\n", " for bitstring, count in counts_dict.items():\n", " key = '111' if bitstring.count('1') > 1 else '000'\n", @@ -639,9 +685,11 @@ ], "source": [ "def error_proba_t1(N, t1):\n", - " \"\"\"simple exponential fitting function for amplitude damping vs. number of cycles\"\"\"\n", + " \"\"\"\n", + " Exponential fitting function for amplitude damping vs. number of cycles\n", + " \"\"\"\n", "\n", - " t_cycle = 7.3e-6 # approximate time per cycle on Heron r3, including the delay\n", + " t_cycle = 7.3e-6 # approximate time per cycle = 5 mus delay + 2.3 mus for error correction\n", " return 1 - np.exp(-t_cycle * N/t1)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(15, 5))\n", @@ -657,7 +705,7 @@ "params_bf, pcov = curve_fit(error_proba_t1, rep_array, 1. - accuracy, bounds=([0, 5e-3]))\n", "t1_bf = params_bf[0]\n", "print(f\"Best-fit effective T1 = {t1_bf * 1e6:.0f} us\")\n", - "error_prob_bf = error_proba_t1(rep_array, t1) # np.array([1 - np.exp(-t_cycle * nt/t1) for nt in rep_array])\n", + "error_prob_bf = error_proba_t1(rep_array, t1_bf) # np.array([1 - np.exp(-t_cycle * nt/t1) for nt in rep_array])\n", "ax.plot(rep_array, error_prob_bf * 100., 'k--', linewidth=1)\n", "\n", "ax.set_xlabel('error correction rounds')\n", @@ -671,8 +719,7 @@ "id": "49c2f443", "metadata": {}, "source": [ - "* Note impproved lifetime (but remember, just a demonstration of correcting one type of error; just protecting classical information)\n", - "* Can you do better by e.g. scaling up the code, tweaking the delay time, etc?" + "We clearly see an improved lifetime of the $|\\bar{1}\\rangle$ state, even compared to the best (unencoded) physical qubits. However, keep in mind that this experiment just corrects one type of error, namely bit-flips. Can you improve the lifetime of the logical qubit? You might want to explore optimizing the delay time, scaling up the size of the repetition code beyond $n=3$, etc." ] }, { From aeccf1d8506f79f1e73dd78941c95e3805e8d60a Mon Sep 17 00:00:00 2001 From: Roland de Putter Date: Wed, 20 May 2026 11:59:10 -0400 Subject: [PATCH 07/13] update to text --- docs/tutorials/repetition-codes.ipynb | 10 +--------- 1 file changed, 1 insertion(+), 9 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 0369cce1029..73c12e00863 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -17,15 +17,7 @@ "\n", "\n", "# Repetition codes\n", - "*Usage estimate: less than 1 minute on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*\n", - "\n", - "## Background\n", - "\n", - "To enable real-time quantum error correction (QEC), you need to be able to dynamically control quantum program flow during execution so that quantum gates can be conditioned on measurement results. This tutorial runs the bit-flip code, which is a very simple form of QEC. It demonstrates a dynamic quantum circuit that can protect an encoded qubit from a single bit-flip error, and then evaluates the bit-flip code performance.\n", - "\n", - "You can exploit additional ancilla qubits and entanglement to measure *stabilizers* that do not transform encoded quantum information, while still informing you of some classes of errors that might have occurred. A quantum stabilizer code encodes $k$ logical qubits into $n$ physical qubits. Stabilizer codes critically focus on correcting a discrete error set with support from the Pauli group $\\Pi^n$.\n", - "\n", - "For more information about QEC, refer to [Quantum Error Correction for Beginners](https://arxiv.org/abs/0905.2794)." + "*Usage estimate: less than 10 seconds on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*" ] }, { From 2fec31f6fadd336ca00dcbd774847572c801f866 Mon Sep 17 00:00:00 2001 From: abbycross Date: Fri, 22 May 2026 10:20:39 -0400 Subject: [PATCH 08/13] little fixes for IBM Style --- docs/tutorials/repetition-codes.ipynb | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 73c12e00863..f2d0586e52a 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -60,9 +60,9 @@ "You can exploit additional ancilla qubits and entanglement to measure *stabilizers* that do not transform encoded quantum information, while still informing you of some classes of errors that might have occurred. A quantum stabilizer code encodes $k$ logical qubits into $n$ physical qubits. Stabilizer codes critically focus on correcting a discrete error set with support from the Pauli group $\\Pi^n$.\n", "\n", "\n", - "In this tutorial, we demonstrate the bit-flip code using a simple quantum memory experiment. We will prepare the encoded qubit in the logical state $|\\bar{1}\\rangle \\equiv |111\\rangle$ and then implement multiple cycles of idle time (to accrue errors) followed by error detection + correction. We then quantify the probability of a logical error as a function of the number of cycles (time), where the logical error probability is the probability of finding the qubits in a state that doesn't recover the $|\\bar{1}\\rangle$ after final measurement (concretely, states corresponding to an error are $|000\\rangle$, $|001\\rangle$, $|010\\rangle$, and $|100\\rangle$).\n", + "In this tutorial, we demonstrate the bit-flip code using a simple quantum memory experiment. We will prepare the encoded qubit in the logical state $|\\bar{1}\\rangle \\equiv |111\\rangle$ and then implement multiple cycles of idle time (to accrue errors) followed by error detection and correction. We then quantify the probability of a logical error as a function of the number of cycles (time), where the logical error probability is the probability of finding the qubits in a state that doesn't recover the $|\\bar{1}\\rangle$ after final measurement (concretely, states corresponding to an error are $|000\\rangle$, $|001\\rangle$, $|010\\rangle$, and $|100\\rangle$).\n", "\n", - "We will compare the error rate vs. time to the error rates of individual, unencoded qubits, and also to use of the repetition code where we only detect and correct errors after final measurement, but not dynamically during the circuit.\n", + "We will compare the error rate versus time to the error rates of individual, unencoded qubits, and also to use of the repetition code where we only detect and correct errors after final measurement, but not dynamically during the circuit.\n", "\n", "Note: the repetition code only allows for correction of bit-flip errors and therefore is not a complete error correction code. However, because of its simplicity, it is a good starting point to illustrate how to implement error correction on a quantum computer. The memory experiment below only tests for a single type of error (a $|\\bar{1}\\rangle$ decaying to $|\\bar{0}\\rangle$) and technically only demonstrates the protection of classical information." ] @@ -222,7 +222,7 @@ "\n", "Below you will build circuits that (1) prepare the data qubits in the logical $|\\bar{1} \\rangle$ state, then (2) run multiple cycles of a $5 \\mu s$ delay followed by error correction (including reset of the syndrome qubits), and (3) read out the state of the data qubits.\n", "\n", - "We will also test the lifetime of the $|1\\rangle$ state without using error correction by including 3 reference qubits that we prepare in the $|1\\rangle$ state, leave idle, and then read out." + "We will also test the lifetime of the $|1\\rangle$ state without using error correction by including three reference qubits that we prepare in the $|1\\rangle$ state, leave idle, and then read out." ] }, { @@ -391,7 +391,7 @@ "id": "cc8f818f", "metadata": {}, "source": [ - "We will start by finding an initial layout (i.e. selection of physical qubits to map our circuits too) by transpiling the longest of our circuits using the preset pass manager with optimization level 3." + "We will start by finding an initial layout (as in, a selection of physical qubits to map our circuits to) by transpiling the longest of our circuits using the preset pass manager with optimization level 3." ] }, { From e2eba1acd86984f7424624f42f74b2bc0a069b35 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 22 May 2026 10:24:11 -0400 Subject: [PATCH 09/13] ./fix --- docs/tutorials/repetition-codes.ipynb | 199 +++++++++++++++++--------- 1 file changed, 131 insertions(+), 68 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index f2d0586e52a..805322cf0bb 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -31,7 +31,7 @@ "\n", "- How to implement a bit-flip error correction code using dynamic circuits\n", "- How to measure stabilizers to detect quantum errors without destroying encoded information\n", - "- How to evaluate the performance of quantum error correction by comparing corrected and uncorrected results\n" + "- How to evaluate the performance of quantum error correction by comparing corrected and uncorrected results" ] }, { @@ -44,7 +44,7 @@ "It is recommended that you familiarize yourself with these topics:\n", "\n", "- [Dynamic circuits](/docs/guides/classical-feedforward-and-control-flow)\n", - "- [Quantum error correction fundamentals](https://arxiv.org/abs/0905.2794)\n" + "- [Quantum error correction fundamentals](https://arxiv.org/abs/0905.2794)" ] }, { @@ -52,7 +52,6 @@ "id": "0d182acd", "metadata": {}, "source": [ - "\n", "## Background\n", "\n", "To enable real-time quantum error correction (QEC), you need to be able to dynamically control quantum program flow during execution so that quantum gates can be conditioned on measurement results. This tutorial runs the bit-flip code, which is a very simple form of QEC. It demonstrates a dynamic quantum circuit that can protect an encoded qubit from a single bit-flip error, and then evaluates the bit-flip code performance.\n", @@ -101,14 +100,14 @@ "from scipy.optimize import curve_fit\n", "\n", "sns.set()\n", - "plt.rc('xtick', labelsize=20)\n", - "plt.rc('ytick', labelsize=20)\n", - "plt.rc('lines', linewidth=3)\n", - "plt.rc('font', size=20)\n", - "plt.rc('legend', fontsize = 'large')\n", - "plt.rc('axes', labelsize=20)\n", - "plt.rcParams['figure.figsize'] = 15, 6\n", - "plt.rcParams['legend.title_fontsize'] = 25" + "plt.rc(\"xtick\", labelsize=20)\n", + "plt.rc(\"ytick\", labelsize=20)\n", + "plt.rc(\"lines\", linewidth=3)\n", + "plt.rc(\"font\", size=20)\n", + "plt.rc(\"legend\", fontsize=\"large\")\n", + "plt.rc(\"axes\", labelsize=20)\n", + "plt.rcParams[\"figure.figsize\"] = 15, 6\n", + "plt.rcParams[\"legend.title_fontsize\"] = 25" ] }, { @@ -144,14 +143,6 @@ "### Step 1: Map classical inputs to a quantum problem" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "689b8355", - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "markdown", "id": "02427c7e", @@ -232,28 +223,48 @@ "metadata": {}, "outputs": [], "source": [ - "def build_qc(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref=None, creg_ref=None):\n", + "def build_qc(\n", + " qreg_data,\n", + " qreg_syndrome,\n", + " creg_data,\n", + " creg_syndrome,\n", + " qreg_ref=None,\n", + " creg_ref=None,\n", + "):\n", " \"\"\"Build a typical error correction circuit\"\"\"\n", " if qreg_ref:\n", - " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref, creg_ref)\n", + " return QuantumCircuit(\n", + " qreg_data,\n", + " qreg_syndrome,\n", + " creg_data,\n", + " creg_syndrome,\n", + " qreg_ref,\n", + " creg_ref,\n", + " )\n", " else:\n", - " return QuantumCircuit(qreg_data, qreg_syndrome, creg_data, creg_syndrome)\n", + " return QuantumCircuit(\n", + " qreg_data, qreg_syndrome, creg_data, creg_syndrome\n", + " )\n", + "\n", "\n", "def encode_bit_flip(circuit, qreg_data, qreg_ref=None) -> QuantumCircuit:\n", " \"\"\"Encode bit-flip. This is done by simply adding a cx\"\"\"\n", "\n", " for q in qreg_data:\n", " circuit.x(q)\n", - " \n", + "\n", " if qreg_ref:\n", " for q in qreg_ref:\n", " circuit.x(q)\n", - " \n", + "\n", " circuit.barrier()\n", - " \n", + "\n", " return circuit\n", "\n", - "def measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_syndrome, qreg_ref=None):\n", + "\n", + "def measure_syndrome_bit(\n", + " circuit, qreg_data, qreg_syndrome, creg_syndrome, qreg_ref=None\n", + "):\n", " \"\"\"\n", " Measure the syndrome by measuring the parity.\n", " We reset our ancilla qubits after measuring the stabilizer\n", @@ -268,7 +279,7 @@ " circuit.cx(qreg_data[0], qreg_syndrome[1])\n", " circuit.cx(qreg_data[2], qreg_syndrome[1])\n", " circuit.barrier()\n", - " \n", + "\n", " for q_measure, c_measure in zip(qreg_syndrome, creg_syndrome):\n", " circuit.append(MidCircuitMeasure(), [q_measure], [c_measure])\n", "\n", @@ -280,6 +291,7 @@ " circuit.barrier()\n", " return circuit\n", "\n", + "\n", "def apply_correction_bit(circuit, qreg_data, creg_syndrome):\n", " \"\"\"We can detect where an error occurred and correct our state\"\"\"\n", " with circuit.if_test((creg_syndrome, 3)):\n", @@ -291,14 +303,17 @@ " circuit.barrier()\n", " return circuit\n", "\n", - "def apply_final_readout(circuit, qreg_data, creg_data, qreg_ref=None, creg_ref=None):\n", + "\n", + "def apply_final_readout(\n", + " circuit, qreg_data, creg_data, qreg_ref=None, creg_ref=None\n", + "):\n", " \"\"\"Read out the final measurements\"\"\"\n", - " \n", + "\n", " circuit.barrier()\n", " if qreg_ref:\n", " circuit.measure(qreg_ref, creg_ref)\n", " circuit.measure(qreg_data, creg_data)\n", - " \n", + "\n", " return circuit" ] }, @@ -321,35 +336,57 @@ } ], "source": [ - "def build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=3, delay=None) -> QuantumCircuit:\n", - " \n", + "def build_error_correction_sequence(\n", + " num_cycles, cycles_per_circuit, nq_ref=3, delay=None\n", + ") -> QuantumCircuit:\n", " circuits = []\n", " reps = []\n", "\n", - " qreg_data = QuantumRegister(3, name='qdata')\n", - " qreg_syndrome = QuantumRegister(2, name='qsyndrome')\n", + " qreg_data = QuantumRegister(3, name=\"qdata\")\n", + " qreg_syndrome = QuantumRegister(2, name=\"qsyndrome\")\n", " creg_data = ClassicalRegister(3, name=\"cdata\")\n", " creg_syndrome = ClassicalRegister(2, name=\"csyndrome\")\n", - " qreg_ref = QuantumRegister(nq_ref, name='qreference')\n", - " creg_ref = ClassicalRegister(nq_ref, name='creference')\n", - " \n", - " circuit = build_qc(qreg_data, qreg_syndrome, creg_data, creg_syndrome, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " qreg_ref = QuantumRegister(nq_ref, name=\"qreference\")\n", + " creg_ref = ClassicalRegister(nq_ref, name=\"creference\")\n", + "\n", + " circuit = build_qc(\n", + " qreg_data,\n", + " qreg_syndrome,\n", + " creg_data,\n", + " creg_syndrome,\n", + " qreg_ref=qreg_ref,\n", + " creg_ref=creg_ref,\n", + " )\n", " circuit = encode_bit_flip(circuit, qreg_data, qreg_ref=qreg_ref)\n", "\n", " circuit_n = circuit.copy()\n", - " circuit_n = apply_final_readout(circuit_n, qreg_data, creg_data, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " circuit_n = apply_final_readout(\n", + " circuit_n, qreg_data, creg_data, qreg_ref=qreg_ref, creg_ref=creg_ref\n", + " )\n", " circuits.append(circuit_n)\n", " reps.append(0)\n", "\n", " for i in range(1, num_cycles + 1):\n", " if delay:\n", - " circuit.delay(delay, unit='us')\n", + " circuit.delay(delay, unit=\"us\")\n", " circuit.barrier()\n", - " circuit = measure_syndrome_bit(circuit, qreg_data, qreg_syndrome, creg_syndrome, qreg_ref=qreg_ref)\n", + " circuit = measure_syndrome_bit(\n", + " circuit,\n", + " qreg_data,\n", + " qreg_syndrome,\n", + " creg_syndrome,\n", + " qreg_ref=qreg_ref,\n", + " )\n", " circuit = apply_correction_bit(circuit, qreg_data, creg_syndrome)\n", " circuit_n = circuit.copy()\n", " if i % cycles_per_circuit == 0:\n", - " circuit_n = apply_final_readout(circuit_n, qreg_data, creg_data, qreg_ref=qreg_ref, creg_ref=creg_ref)\n", + " circuit_n = apply_final_readout(\n", + " circuit_n,\n", + " qreg_data,\n", + " creg_data,\n", + " qreg_ref=qreg_ref,\n", + " creg_ref=creg_ref,\n", + " )\n", " circuits.append(circuit_n)\n", " reps.append(i)\n", "\n", @@ -359,7 +396,9 @@ "num_cycles = 40\n", "cycles_per_circuit = 4\n", "nq_ref = 3\n", - "circuits, rep_array = build_error_correction_sequence(num_cycles, cycles_per_circuit, nq_ref=3, delay=5)\n", + "circuits, rep_array = build_error_correction_sequence(\n", + " num_cycles, cycles_per_circuit, nq_ref=3, delay=5\n", + ")\n", "circuits[1].draw(output=\"mpl\", cregbundle=False, fold=50)" ] }, @@ -426,7 +465,9 @@ } ], "source": [ - "init_layout = isa_circuit_ref.layout.initial_index_layout(filter_ancillas=True)\n", + "init_layout = isa_circuit_ref.layout.initial_index_layout(\n", + " filter_ancillas=True\n", + ")\n", "print(init_layout)" ] }, @@ -465,7 +506,9 @@ "t1_data_sorted = sorted(t1_data, key=lambda x: x[1], reverse=True)\n", "\n", "# exclude the qubits we have already mapped the error correcting code to\n", - "t1_data_sorted = [t1_data for t1_data in t1_data_sorted if not t1_data[0] in init_layout[:5]]\n", + "t1_data_sorted = [\n", + " t1_data for t1_data in t1_data_sorted if t1_data[0] not in init_layout[:5]\n", + "]\n", "\n", "# use the best qubits in terms of T1 for the reference qubits\n", "init_layout = init_layout[:5] + [t1_data[0] for t1_data in t1_data_sorted[:3]]\n", @@ -516,7 +559,11 @@ "outputs": [], "source": [ "# now we transpile all circuits to this initial layout; this way each circuit is run on the same qubits and we can make a fair comparison\n", - "pm = generate_preset_pass_manager(backend=backend, optimization_level=3, initial_layout=init_layout,)\n", + "pm = generate_preset_pass_manager(\n", + " backend=backend,\n", + " optimization_level=3,\n", + " initial_layout=init_layout,\n", + ")\n", "isa_circuits = pm.run(circuits)" ] }, @@ -539,7 +586,7 @@ } ], "source": [ - "isa_circuits[1].draw('mpl', cregbundle=False, fold=50)" + "isa_circuits[1].draw(\"mpl\", cregbundle=False, fold=50)" ] }, { @@ -560,7 +607,7 @@ "sampler = Sampler(mode=backend)\n", "\n", "sampler.options.environment.job_tags = [\"TUT-REPCODE\"]\n", - "sampler.options.max_execution_time = 600 # this workload is expected to be under 10s, but it is generally a good habit to set a max execution time (here 600s = 10m)" + "sampler.options.max_execution_time = 600 # this workload is expected to be under 10s, but it is generally a good habit to set a max execution time (here 600s = 10m)" ] }, { @@ -626,27 +673,30 @@ " \"\"\"\n", " Corrects the measured logical qubit encoded in the repetition code using majority vote\n", " \"\"\"\n", - " \n", - " result = {'000': 0, '111': 0}\n", + "\n", + " result = {\"000\": 0, \"111\": 0}\n", " for bitstring, count in counts_dict.items():\n", - " key = '111' if bitstring.count('1') > 1 else '000'\n", + " key = \"111\" if bitstring.count(\"1\") > 1 else \"000\"\n", " result[key] += count\n", " return result\n", "\n", - "accuracy = [] # logical qubit\n", - "accuracies_ref = np.zeros((len(results), nq_ref)) # accuracies on individual reference qubits\n", + "\n", + "accuracy = [] # logical qubit\n", + "accuracies_ref = np.zeros(\n", + " (len(results), nq_ref)\n", + ") # accuracies on individual reference qubits\n", "\n", "for n, pub_result in enumerate(results):\n", " # logical accuracy (one minus error probability) for active error correction with repetition code\n", " counts = pub_result.data.cdata.get_counts()\n", " shots = sum(counts.values())\n", " counts_corrected = correct_counts(counts)\n", - " accuracy.append(counts_corrected.get('111', 0)/shots)\n", + " accuracy.append(counts_corrected.get(\"111\", 0) / shots)\n", "\n", " # accuracy for individual physical reference qubits without any error correction\n", " for i in range(nq_ref):\n", " counts = pub_result.data.creference.slice_bits(i).get_counts()\n", - " accuracies_ref[n, i] = counts.get('1', 0)/shots\n", + " accuracies_ref[n, i] = counts.get(\"1\", 0) / shots\n", "\n", "accuracy = np.array(accuracy)" ] @@ -681,27 +731,40 @@ " Exponential fitting function for amplitude damping vs. number of cycles\n", " \"\"\"\n", "\n", - " t_cycle = 7.3e-6 # approximate time per cycle = 5 mus delay + 2.3 mus for error correction\n", - " return 1 - np.exp(-t_cycle * N/t1)\n", + " t_cycle = 7.3e-6 # approximate time per cycle = 5 mus delay + 2.3 mus for error correction\n", + " return 1 - np.exp(-t_cycle * N / t1)\n", + "\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(15, 5))\n", - "ax.plot(rep_array, (1. - accuracy) * 100., 'ko-', linewidth=3, label='rep code')\n", + "ax.plot(\n", + " rep_array, (1.0 - accuracy) * 100.0, \"ko-\", linewidth=3, label=\"rep code\"\n", + ")\n", "\n", "for i in range(nq_ref):\n", " accuracy_1q = accuracies_ref[:, i]\n", " if i == 0:\n", - " ax.plot(rep_array, (1. - accuracy_1q) * 100., 'go-', linewidth=1, label='1q reference')\n", + " ax.plot(\n", + " rep_array,\n", + " (1.0 - accuracy_1q) * 100.0,\n", + " \"go-\",\n", + " linewidth=1,\n", + " label=\"1q reference\",\n", + " )\n", " else:\n", - " ax.plot(rep_array, (1. - accuracy_1q) * 100., 'go-', linewidth=1)\n", + " ax.plot(rep_array, (1.0 - accuracy_1q) * 100.0, \"go-\", linewidth=1)\n", "\n", - "params_bf, pcov = curve_fit(error_proba_t1, rep_array, 1. - accuracy, bounds=([0, 5e-3]))\n", + "params_bf, pcov = curve_fit(\n", + " error_proba_t1, rep_array, 1.0 - accuracy, bounds=([0, 5e-3])\n", + ")\n", "t1_bf = params_bf[0]\n", "print(f\"Best-fit effective T1 = {t1_bf * 1e6:.0f} us\")\n", - "error_prob_bf = error_proba_t1(rep_array, t1_bf) # np.array([1 - np.exp(-t_cycle * nt/t1) for nt in rep_array])\n", - "ax.plot(rep_array, error_prob_bf * 100., 'k--', linewidth=1)\n", + "error_prob_bf = error_proba_t1(\n", + " rep_array, t1_bf\n", + ") # np.array([1 - np.exp(-t_cycle * nt/t1) for nt in rep_array])\n", + "ax.plot(rep_array, error_prob_bf * 100.0, \"k--\", linewidth=1)\n", "\n", - "ax.set_xlabel('error correction rounds')\n", - "ax.set_ylabel('error [%]');\n", + "ax.set_xlabel(\"error correction rounds\")\n", + "ax.set_ylabel(\"error [%]\")\n", "ax.set_ylim(bottom=0)\n", "ax.legend(fontsize=15);" ] @@ -728,7 +791,7 @@ "- [Foundations of quantum error correction course](learning/courses/foundations-of-quantum-error-correction) - learn more about quantum error correction\n", "- [Low-overhead error detection with spacetime codes tutorial](docs/tutorials/ghz-spacetime-codes) - learn how to use Pauli checks to detect errors and post-select samples\n", "\n", - "\n" + "" ] }, { @@ -747,7 +810,7 @@ "metadata": { "celltoolbar": "Slideshow", "kernelspec": { - "display_name": "qiskit_plus", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -761,7 +824,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.9" + "version": "3" } }, "nbformat": 4, From 54a04d7e9b7685a24742c4998c2ec0d5f6d50b33 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 22 May 2026 10:26:38 -0400 Subject: [PATCH 10/13] spelling --- docs/tutorials/repetition-codes.ipynb | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 805322cf0bb..df82654c354 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -15,6 +15,7 @@ "description: This tutorial demonstrates how to build basic repetition codes using IBM dynamic circuits, an example of basic quantum error correction (QEC).\n", "---\n", "\n", + "{/* cspell:ignore pcov REPCODE creference qreference csyndrome qsyndrome qdata fontsize ytick labelsize xtick */}\n", "\n", "# Repetition codes\n", "*Usage estimate: less than 10 seconds on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*" @@ -476,7 +477,7 @@ "id": "eaca173c", "metadata": {}, "source": [ - "For the reference qubits that we will compare our logical quantum memory to, we will choose them to be the best available qubits in terms of amplitude damping coeherence time ($T_1$)." + "For the reference qubits that we will compare our logical quantum memory to, we will choose them to be the best available qubits in terms of amplitude damping coherence time ($T_1$)." ] }, { From 0b55e0af402b7d4fa93e6f3850fe8f1146a44c89 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 22 May 2026 10:27:58 -0400 Subject: [PATCH 11/13] fix links --- docs/tutorials/repetition-codes.ipynb | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index df82654c354..fa5dac0648d 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -150,7 +150,7 @@ "metadata": {}, "source": [ "#### Choose a backend\n", - "To detect errors during the circuit, we need to choose a backend that has access to the `MidCircuitMeasure` method (see the [documentation](docs/guides/execute-dynamic-circuits#mid-circuit-measurements))." + "To detect errors during the circuit, we need to choose a backend that has access to the `MidCircuitMeasure` method (see the [documentation](/docs/guides/execute-dynamic-circuits#mid-circuit-measurements))." ] }, { @@ -789,8 +789,8 @@ "\n", "\n", "\n", - "- [Foundations of quantum error correction course](learning/courses/foundations-of-quantum-error-correction) - learn more about quantum error correction\n", - "- [Low-overhead error detection with spacetime codes tutorial](docs/tutorials/ghz-spacetime-codes) - learn how to use Pauli checks to detect errors and post-select samples\n", + "- [Foundations of quantum error correction course](/learning/courses/foundations-of-quantum-error-correction) - learn more about quantum error correction\n", + "- [Low-overhead error detection with spacetime codes tutorial](/docs/tutorials/ghz-spacetime-codes) - learn how to use Pauli checks to detect errors and post-select samples\n", "\n", "" ] From 7694e32ff4ea144de4c6de4d3f6028801adff434 Mon Sep 17 00:00:00 2001 From: Henry Zou Date: Thu, 28 May 2026 17:39:20 -0400 Subject: [PATCH 12/13] tox -e fix + some typo fixes Fix the lint issues and some minor grammar and typo fixes. --- docs/tutorials/repetition-codes.ipynb | 19 ++++++++---------- .../extracted-outputs/0e8ea0be-0.avif | Bin 0 -> 36935 bytes .../extracted-outputs/67acea4f-0.avif | Bin 0 -> 42125 bytes .../extracted-outputs/67b55eef-0.avif | Bin 12956 -> 0 bytes .../extracted-outputs/67b55eef-1.avif | Bin 12956 -> 0 bytes .../extracted-outputs/72ad282b-1.avif | Bin 0 -> 10698 bytes .../extracted-outputs/dbe02949-0.avif | Bin 9703 -> 0 bytes .../extracted-outputs/dbe02949-1.avif | Bin 9703 -> 0 bytes 8 files changed, 8 insertions(+), 11 deletions(-) create mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/0e8ea0be-0.avif create mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/67acea4f-0.avif delete mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/67b55eef-0.avif delete mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/67b55eef-1.avif create mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/72ad282b-1.avif delete mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/dbe02949-0.avif delete mode 100644 public/docs/images/tutorials/repetition-codes/extracted-outputs/dbe02949-1.avif diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index fa5dac0648d..284ab949139 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -326,9 +326,8 @@ "outputs": [ { "data": { - "image/png": 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3Tx7zoIMOqlHEtdxzzz2X4cOHp127dit84tmuu+6aJJk8eXKdc5900kk1irSWa9GixWe2N23aNElqFM6NHz8+d9xxRzbddNP85je/qTOe5ec5bdq0GvsnT56cH/7whxk2bFiaNWuWgQMH5tprr0379u3rnGdVzFuwMCXlFWs8vqFqsnDJCm9UKDT5v0n2qqoVT1D5GW18IcxbuDCVWb33/uhR/1qjY43693PZ66CBazSW9UNVVVXmzV+wwm1oCMrLl2bCmNorta5MRcWyvPziv7JTv32KEBXr0ttvTsxHH85Z7XGzpk/N5LcmpYOb9tZ7o0Y8lyQ5/PDDq1dz/ixnnnlmHnjggYwZ9a/sd/ixxQ4PAIC1SH604VuT/OiYl/69Rsca9e/nsueBA9ZoLOsH+VEag/KlS/PquJdXe1xFxbK89OI/s1PfvYsQFevSlEmvZv68D1d73Mxpb2fK5LfSfpMVfbpifTHq3x/nRwcMGJDNN998pf3PPPPMPPTQQxk96l/Z57CvFTs8YD3m87Rr0NjPHwCAL6ZnXxyjkOvTbr/99lRUVORb3/rWKiWISkpKctRRR+WBBx7IgAEDcuCBB+arX/3qZyaYlq/mNWpUzRt2L7rooixcuDA/+9nPao1dXvh04okn1jlnWVlZkmTbbbet3nfnnXemqqoqJ598cjbYoO4nkZWUlCRJrWXpk2T06NFJkm98o+4nGN11111Jku985ztp3bp1nX2WF2R9eqWy5XOfcMIJdY6bOHHiZ7a/8cYbSZIvf/nL1fuWn29lZWUOOuigOsctWfLxk0w/ufrYRx99lP333z/t2rXLXXfdlUWLFuWCCy7IgAED8s9//rN69bHV1ba0tRW56tAkTVfYVj5/cZKkacuSWm3L95XPX1ScwFhr2rZuvVpPnK2srMyiBfPX6FjlSxalbZvSlXdkvfPRgoWpqqpKoVDIBqWta21DQzJv7tJUVVau0dhlSxf7PdgAVC1buuaDK8q9BxqA8iUff8at6wEbddl5552TJIsXLkhpqxZp2rTB/hMdAKDBkR9t+FY3P1pRUZHFC9fsJjL50YZLfpTG5MM5i9c4P1ohP9ogfL786FLvgQZgTfOjixbMT5vWrdb4ng6g4fJ52jVo7OcPAMAXV4uS5tmnb+3anVXVYO8SGzJkSJKPn/SzqgYPHpxf//rXuemmm/LUU0/lqaeeyllnnZX99tsvv/71r6sLt5bbcccd06ZNm0ybNi2zZ8/Opptumpdeeim33357OnbsmAsvvLBG/yVLluS1115Lkuy33351xrC8MOqTia2hQ4cmSQ488MAVxv7WW28lqV3IVV5enldffTWFQmGFq4z985//TJL0799/hfPPmDEjSbLFFlvUmjtJ9tmn9goSFRUVGTduXAqFQp3ty5YtS1lZWQqFQnr27Fm9/+mnn06SvPfee3nvvfdWGFOSdO3atfr/b7jhhkyfPj3PPvtsdZxdunTJnnvumYcffjhHH330Z861Iud/98QaBWN8bNF/5uae3z9RZ9uC6R+/bq023ahWW+tN22XJ3PlZtmhJUePj8/vhd76WVh2+tMr9q6qq8otz/ysVFau/gl2/nbvnorNPXu1xfPFdMWhw5s1fkA1KW+eis0+utQ0Nybvvvpvf/OycNRrbf89d81M/E+u9++9vmXtu/dMajf3WcYdlr732WssRsa69+8bIvPDckJSXl69S/+UrMhcKhVz8/VPdqAAAsB6RH234Vjc/WllZmZ//6Fup+qyV2FZgt112kCtroORHaUxmzZqVq/7nh2s09sC9eudCPxPrvb/9rST33vbnNRr7X8cfnj322GMtR8S6NmviC3nx+adXOz/atGnTXPz9U1IoFIoZHrAe8nnaNWjs5w8AQMPVYAu53nnnnSTJ1luv+lJlLVu2zC9+8Yv8/Oc/z0svvZRHHnkk119/fYYPH56DDz44EydOTMeOHav7N23aNL17987w4cMzcuTIDBgwIOeee26qqqpy+eWXp02bNjXmLysry7Jly9K1a9d86UtfqjOG5YVcy588lCRTp079zHNZuHBh/vWvfyWp/WSjCRMmpLy8PFtvvXXatWtX5/jl1+qzVi5bXuy155571jn3hhtuWGvMq6++msWLF2ebbbaps72srCxLlizJNttsU2OlseXxvP322zUKx1bm0UcfzV577VVjzB577JGuXbvmkUceWeNCrquvv9uKXHVoMn9xOq6gbem8hfno7dlp36P2e7Z9j63y/pg3ixsca8Ufbr5/tZ44myQbddgk/5k9c7WPNXnmh7li0ODVHscX30cLFlb/ecWgwbW2oSGpqKhIq9Ztsmjh6q9OOO7NWX4mGoBZ06eu0bhCoZBHnxmdZ8e8vZYjYl17a8bcJMnjjz+eK6+8cqU3Hjz++ONJknYdNs2v/89dxQ4PAIC1SH604VuT/Gi7Dpvm/fdmrfax3poxV16ggZIfpTGpqFiWVq1Ls2gNViccO2mmn4kGYMa0NctvFgqFPDz85Qx/ZfJajoh1bfLMD5N8nPf81a9+tVr50Sv/fGfR4wPWPz5PuwaN/fwBAPjialHSPAfv3Ts9tlv1eqVParCFXAsWfJwgXrRo0WqPLRQK6d27d3r37p0f/vCH6dGjR2bMmJGRI0dm4MCBNfr269cvw4cPz6hRo7J48eI899xz6dWrV/7rv/6r1rxjxoxJUrNI65M+/PDDTJ48Oa1atcpXvvKV6v0fffRRjXP6tL/+9a+ZP39+2rdvny5dutR5zM9aun750yFXNP+0adPy2GOPpUWLFjnyyCNXee5XXnklyYrPt67Vx5Jk/vyPb35e3deurKwsxx13XK393bt3T1lZ2WrN9UnzFixMSfnqrzDU0DVZuGSFNyokyduPjUj304/Ihl/unA8nfbyiW6e9e2TDL3fJ+D//fd0Eyecyb+HCVGb13vs9eu+ZYY/dt1pjmjVvnm2675R581f/iz3WH1VVVTVe409vQ0PRo/fuefHZp1ZrTOs2G6TLVl/xM9EAtN6wfTpt3jUz35myWuO22a5n0qzEe6AB2Lr7TmnW/M6MGzcuzz33XJ0rEy9XWVmZP//54ycU9+izp9cfAGA9Iz/a8K1ZfnSPDH/igdUa06x582wtP9rgyY/SWOywy24Z9fzTqzWmdIO26dx1Wz8TDUCbL3VIx822zKzVLOj68va9kqbyow3B1t13SrNmd2XMmDH55z//mb322muFfT+ZH92x9x5ef+Az+TztGjT28wcA4Ivp2RfHKOT6tM033zxlZWX597//nX79+q3xPBtttFFKSkqSJBtvvHGt9t122y3JxytW3X777UmS3/3ud2nSpEmtvisrfFpe2NSjR480bdq0en/Hjh0zadKkjBgxota5zJgxI5dcckmSpFevXis85oqKqZKkW7duGTlyZF566aX06dOnRltlZWXOPPPMLF26NOecc06NVb1W9XxWdOwVjd9iiy0yYcKEDBkypEZB28rMmTOnzpXONtpoo0yaNGmV5/m0tqWtrchVhyZp+pnt4/7892xz3L45+N6fZ8L1j6Rpi5L0OOuovD/urbx5/7PrKEo+j7atW6/2E2f32OfAPP+Ph1NevnSVx/TqvUc22WST1Q2P9cRHCxamqqoqhUIhG5S2rrUNDc1e+x+aF58bkvzfQvlV0XfPA7LRl2qvXsr6aY99D879d9ywWmP22v+QtG1TWqSIWJfatilNr9575KV/P5NTTz01zzzzTLp27VqrX2VlZc4777y88sorada8efbc58C09h4AAFivyI82fGuUH933oDw/5JEsKy9f5TE79dkzm9Tx/RMNg/wojc3e+x+62oVc8qMNyx77HpwHBt+4WmPkRxuOtm1K07P37nl5xLM55ZRT8swzz2TLLbes1a+ysjI/+tGPMmbMmDRr3jx77HNgWpd6DwC1+TztGjT28wcA4IurRUnz7NO3dv3OqmqwhVzHHHNMysrKctlll6Vnz5454IADqttmzZqVwYMH59hjj82WW26Zv/zlLykrK8s3v/nNdO/evbrfBx98kAsuuCBTpkzJ9ttvn759+9Y6zvJCriFDhiRJBgwYkP79+9cZ08qKqla0QtXBBx+cSZMm5corr8x+++1XXbD1yiuv5OSTT857771X57jPmvOTTjjhhIwcOTJXXHFF9tlnn+prMGPGjJx99tl57LHH0qtXr/zqV7+qc+4Vnc+arsh13HHHZcKECfnpT3+ajh075mtf+1qN9okTJ2bw4ME59NBDs8cee9RoKxQKtY5TtRo3Utfl/O+emFJJw1oW/Wdu7vn9EytsX/L+vDzx1UvS95ffys7nn5Bli5Zm6v83MqMuuz2VS5etw0hZUz/8ztfSqsOXVntc9802yMknn7xKfbt165YnH74vHTp0WO3jsH64YtDgzJu/IBuUts5FZ59caxsaoi5tkx//+Mer1Ld379559P7BPms0IBVnnpjjF/4nDzywak9g/+53v5v/86df1/k5lvXTd088NLvvvnveeOON9OnTJz/4wQ9y2mmnpVOnTlm2bFkeffTR/OEPf8jw4cOTJLfecktOOeWU+g0aAIDVJj/a8K1pfnS7zqX5xje+sUp9t9122zz58H1p3779ah+H9YP8KI1R57bJ+eefv0p9+/btm0fvH5zWrd2E21BUnHlijl3wXh566KFV6v+9730vg/54pfxoA3LGCYdk9913z6RJk9KnT5+cc845NfKjjzzySP7whz/kmWeeSZL85bbb8vWvf72eowa+qHyedg0a+/kDANBwNdhCrgsvvDCPP/54Xn755fTv3z+dOnVK586dM3369MyaNSvNmzfPOeeckyR55plncuutt+aqq67KxhtvnC233DILFy7Mm2++mSVLlqRLly6577776lxlq2PHjtliiy0yderUNGvWLFdfffUKY1pZIdeKCp9+8pOf5J577sns2bOz6667Ztttt01FRUVef/31dOzYMX369MnIkSPrXJFr7NixST6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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 195, @@ -410,7 +409,7 @@ "source": [ "### Step 2. Optimize the problem for quantum hardware execution\n", "\n", - "To reduce the total job execution time, Qiskit primitives only accept circuits and observables that conforms to the instructions and connectivity supported by the target system (referred to as instruction set architecture (ISA) circuits and observables). [Learn more about transpilation](/docs/guides/transpile)." + "To reduce the total job execution time, Qiskit primitives only accept circuits and observables that conform to the instructions and connectivity supported by the target system (referred to as instruction set architecture (ISA) circuits and observables). [Learn more about transpilation](/docs/guides/transpile)." ] }, { @@ -500,7 +499,7 @@ "for i in range(backend.num_qubits):\n", " try:\n", " t1_us = backend.properties().t1(i) * 1e6\n", - " except:\n", + " except Exception:\n", " t1_us = 0.0\n", " t1_data.append((i, t1_us))\n", "\n", @@ -539,14 +538,14 @@ } ], "source": [ - "# These are the resulting T1- times\n", + "# These are the resulting T1 times\n", "properties = backend.properties()\n", - "print(\"Amplitude damping decoherence times code data qubits:\")\n", + "print(\"Amplitude damping decoherence times for code data qubits:\")\n", "for q in init_layout[:3]:\n", " t1 = properties.t1(q)\n", " print(f\"qubit {q}: T1 = {t1 * 1e6:.0f} mus\")\n", "\n", - "print(\"\\nAmplitude damping decoherence times reference qubits:\")\n", + "print(\"\\nAmplitude damping decoherence times for reference qubits:\")\n", "for q in init_layout[-3:]:\n", " t1 = properties.t1(q)\n", " print(f\"qubit {q}: T1 = {t1 * 1e6:.0f} mus\")" @@ -576,9 +575,8 @@ "outputs": [ { "data": { - "image/png": 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3OmwbM2aMxowZ45Z4PMHR5AwNe2WZvp7UR28+112DH//TYf9N/epr6LWNNOl/G5i0BwAAXot5EhSFsaE8Vh0f5P3H2dYflz7dKS06JNnP2dcmUvpHQ6lvbbeEViFOZEmf7ZRm7c/7PZ8pacA86bp60tBGeXNGvojrINdBX8A8CUqLMfLCGCMHAABW4PH3rTl69KiefPJJNWzYUMHBwapbt66eeOIJpaena8iQITIMQx988IFDmYyMDL322mvq2bOnIiMjFRgYqJo1a6pr16569tlndfjwYUnSvHnzZBiGGjZsWOzzm6apzp07yzAMh1W3atasKcMwtHfvXq1Zs0a33367ateurbCwMLVv3/68K3QdO3ZMI0aMUKNGjRQcHKwmTZpo2rRpks6s3FZUcludOnVkGIZ27typv/76S9dee62io6NlGIa++OKLguNSUlL06quvqnPnzoqMjFRoaKg6deqkDz/8sNiY8s+9Y8cOxcXF6brrrlN0dLQqVaqkK6+8Ups3by44dsGCBRo4cKCqV6+uqlWr6uqrr9bOnTuLPXdWVpbef/99XX755YqKilJQUJAaN26s5557TmlpacWWcxfTNEs+qIKcPn1aDz/8sGrXrq0JEyac99jFixdLkjp16qSLLrqo0P4bbrhBNptNCQkJWrSIiSl4loDwEEVcVEPJm/fJsOWtWrlm4leae/PYIn9O7jxY5HkueeMR9fngKUXUq64jq7dp5dhPNaPbw4XuYJaWcExJy/9W/YE9JUn1B/ZQxvFTOrhgffm+UDgtuFYjVWrXV5U7XKWaNzypRs//rNQdy7XvnQcLjoloebHaf5Pi8NPyre3yj4hW7X+MP8/ZvUd4veqF6nGHkf/QnYnT1ejWy4osc8XXz+uO/V+rauv6FRFiuaEOQJJOZEr/WiK9s61wYpsknc6Wvtot/XORtPd0xcdXET7YJj223DGx7WxLDksPLZW+3l2xcVUUroNcB31Bi39dq9BaUZp781htevMHbXh9pv6671VVbVVfDW/u7e7wAMDjffPrbn3/x14N6ltfg66ILdgeUyNU7zzfUxt3HNfzb6x2X4AAAAAXgHkSFIexoTxWHR/k/Ue+n/dL9y+WFhSR2CZJG5KlZ1ZJr22SPOgrLy6TmCbdvUj6ZKdjYlu+Y5nSRzuke+Kkw4UXsvEJXAe5DvoC5kmAC8MYOQAA8HUendy2YcMGtWrVSlOmTFFSUpJatGihrKwsTZ06VUOGDNG2bdskOSaCHT58WJ07d9bjjz+uFStWqHr16mrTpo0Mw9DKlSv18ssvKz09bySja9eustls2r17t44fL3xnO0n6/PPPtWrVKvXq1UuDBg0qeI6kpCRVqlRJM2fOVJcuXfTHH38oJiZGQUFBWrdunQYPHqwFCxYU+Zpat26tyZMn69ChQ2rRooVOnjyp4cOHa8SIEQUrt7Vr186h3LFjx3Tw4EGFhYXps88+02WXXaZly5apfv36qlatWsHfYMOGDWrXrp2eeuopbd68WRdddJFq1Kih1atX695779W//vWvQjHlnzskJEQzZ87UJZdcojVr1qhu3brKzMzUb7/9pn79+unUqVMaO3as+vTpo3Xr1ikmJkapqamaM2eOrrrqKmVlFR5B2r17tzp27Kj7779fCxcuVLVq1RQbG6s9e/bopZde0uWXX67MzMySqsIF6d27d0EiYklWrVql9u3ba8+ePeUaU2mNHDlS8fHxmjZtmipVqnTeY/PrcExMTJH7g4KCFB0dLUlasmSJawNFhQsNDVXXrl0VGhrq7lBc4qIB3WXYbNo/d6VSDuQNyOakZihx0UaHn6xTaTL8bMrNKHy9qdGtuRrceLHWTf1Oc65/XitGf6yd3/yllANHFBQZXuj43TMXqVKDWqrcpI7q9uukvT8tlZnjPXfs8rU6UFrhTbup6qVDlLzwK6VsW1bkMfbsTO1+5UaFt+ilWjc9W8ERup5/WLCyThdOBl/36rc6vmWfuoz9p8Jioh32Nb2jn2IubasNr8/U8Y2e0aa5ihXrgNVl5UqPr5C2nCj52KR06d/LpGNFJMB5s+/25CX2lcSU9Oom6df4cg+pQnEddMR18Axv6w/Vv66nDi3ZrJM7znwBMXHRRp3ceVD1r+vpxsgAwHs8OGGJjp/M1BsjuyuyUqAk6ZMJlyosxF9Dn12grOyivuLnm7ytHQQAwNV8rS1knsR5vlYHSsuKY0OMD55hxfcfUlySNG6dlFuKpLUvduclefmS09nSsGXS/tSSj919Wnp0uZTmY4s/cR08g+vgGd7YF2KeBLhwjJEDZ3hjWwgAOD+PTW47evSoBgwYoKSkJI0YMUKHDh3SmjVrlJSUpPHjx2vmzJlat26dbDabWrVqVVBu+PDh2rRpk4YOHaqEhARt27ZNq1atUmJiovbv369JkyYVrGpVqVIlNWvWTFJeUtO50tLS9Oyzz8owDE2dOrVg+7p16yTlrRA3YcIEffXVV0pMTNTKlSt18OBB9e+ft9T5Rx995HC+I0eOaMCAAUpMTNTjjz+uxMRErVmzRocOHdKYMWM0depUrV+/vtBrOvc5J02apA8++EBJSUlauXKlDh06pJYtW2rPnj3q16+fdu3apUceeUQJCQlat26d9uzZo99//13BwcF677339OuvvxZ57uzsbE2ePFk//vijDhw4oLVr12rdunUKDw9XQkKCbrvtNv3nP//Rjz/+qP3792vt2rVau3atwsPDtWvXLv31118O501OTlb//v21adMm3XvvvUpISNDWrVu1bds2bdy4UY0bN9ayZcv05ptvlqZKVIgvv/xS69evV+/evd2e4LZs2TK9/fbbuuqqq3TTTTeVeHyVKlUkSQcPFn2nxszMTB09mrfUR35iKLxXvXr19N///lf16tVzdygXLKR6FbV/6halJhzT7pmLdHT9LqUdOq7m91wt/9DgguMCwkPU+73H1eu1h2UvYnI1KDJCknRyu+M3+hv/4zIFhIXI8Hds8vb+tFS5mdlqN/wmhVSrot3fx5XDqys/vlQHnFXrluclm58Svni+yP3733pA9uwMxT76ccUGVk7qXNZeB/9cW2i7PTtHcY++Ib/gQPV87eGC7eH1qqvT6KE6tnG31r9e/Eqy3sxqdcDq/kjMu+NoaR1Kl772nTk6pedIb/7tXJnXt0g5PjRmzXWwMK6DebypPxRYOUyVYmvq2IbCyyse27Bb0W0buCEqAPA+ScfSNXzyMtWMDtXkx7vo3kFNdXnX2hrz9hqt31b0zct8lTe1gwAAlAdfaguZJykbX6oDzrLa2BDjg46s9v5bnWlKr20uerW24ny4vejVzbzVzL3S3pTSH7/jlPTzgXILxy24DjriOpjH2/pCzJMArsEYOXCGt7WFAICSeWxy2yOPPKIDBw7o8ccf18SJExUefuZucs8995yaNWumnJwcNWnSRCEhIZIk0zQ1c+ZMBQQE6L333lO1atUczlmnTh099dRTDtu6du0qqejktsmTJys+Pl633367OnfuXLA9f3W17Oxsff3117rppptkGIYkKSQkRA888IAkad++fQ7nGzZsmA4cOKCHH35YU6ZMUURE3gSDYRgaPXq0mjdvruzsbDVq1EhhYWEOZfOfMzc3V++9957uuece2Wx5b5/NZpNhGLr77ruVlJSk4cOH6/XXXy9IdpKkyy+/XPfee68k6euvvy7y3Ha7Xd9++60GDBhQsK958+YFyXq//vqrvvvuO4f9LVq00JVXXilJhVZGe/TRR7V9+3YNGzZM77//vsP70bx584KEwR9++EGeYsqUKbrnnnu0f/9+tya4ZWdn695771VQUFCpk/+6dOkiKa8un1v3JOn777+X3Z435Jmc7MQ3xOGRcnNzlZKSotxc77mDpiTV699FDQZdrAaDLlbj2/uq0wt36Lo/pyiwcqgWPDRNuRlZMnNytXzUhwqrE61rf5ukVg9dp+b3XK2rf5yg8DrVtHLsJzJzCw/fH165TVmnUtV57J1q9fD1ajKkry5581F1n3i/ctIzFRAW4nB81slUHfxrrepf31Mp8Ud0eLmTmQNu5q11wBWCazVS1Ytv1en1v+v05kUO+w7/9B+dXPWzGo78QbYg77srS2ClwjFHtWmoY+t3FXn88U17tOH1map9cWs1u+sqyTDU6/V/y+bvr0WPvOFVd9l1hi/XART2XRm6Yz/sy1vxzRfMPSilOHmH0SMZ0sJD5RNPeeM6WDpcB/N4U38otGZVSVLaocKTSmmHkxVYKUwBEb79fgGAq3z64079suiA7rq+iaY80UWL1yZp0v82ujusCudN7SAAAOXBW9tC5klcx1vrgCv48tgQ44Ml8+X3H4WtOirtcyKxS5Ky7NJP+8snnoqWa0ozC3/9pUTT9+YlBnojroMl4zqYx9v6QsyTAK7DGDmQx9vaQgBAyTwyuW3Lli365ptvVL16dY0fP77QfsMw1LFjR0lS27ZtC7ZnZ2cX/Pz555+leq5u3bpJklauXOmw/eDBg5o0aZJCQkL00ksvOezLTwa7+eab1a9fv0LnzMrKuwVS5cqVC7Zt2rRJ3377rapWraqXX365yNeUn5zUrl27Qvvzn/OKK67Q0KFDC+1ftGiR5s+fr6pVq2rChAlFvtb8v9m5CVv5577tttt02WWXFSoXFBR03v1+fn6SpODgM3cO3LRpkz7//HPVqFFDEydOLDKe/NcZH3/m7oHx8fF65JFH1KNHD4WGhsowjEJJc2W1ZcsWrVu37rw/69ev18MPP6xevXq5NcHtlVde0ebNmzVq1Cg1aFC6O9MMHDhQderUUWZmpm677TaHv+vixYs1fPjwgsdpaWkujxkVa8eOHbrsssu0Y8cOd4filC7j7tIlbzyqS954VJ1fuEMxfdpr/9xV+qnfCIdJ032zl2verROUlnhMbYcPVvsRtyjrdLr++OdE7flhcZHnzjh6Ur8PeUmn9x1S28cGqcPIfyi8bnUteOA1bf1krqo0rauQalUcyuyakTfQWdw5PZm31gFXqXnTc5LNpoQvRxdsO73hL8V/+rQaPPWtgmrEui+4Moq5rL1uXPqGQmpEFmwzbDaZ9vPfi3HD6zN0dMMudRw1RF3G3aWa3Vpo3ZRvdWKrj8xaFcMX6wAKS0xzbtW2fMlZ0oqjro/HHeYWvShviX4tYzl34jroHK6D3tUfCgjP+wJhTnpmoX25GXljCP6hQRUaEwB4swcnLJFpmqoUHqhHJy6T3e6l31i7AN7UDgIAUB68tS1knsR1vLUOuIovjg0xPlh6vvj+o2hWmiMoyqZk6WAZvt6y+3TeCm7ehutg6XEd9L6+EPMkgGsxRg54X1sIACiZv7sDKMoXX3whu92uIUOGKDS06Dty5CdcnZ3cFhgYqOuuu04zZ87UgAED1LdvX91www0aMGCA6tatW+R5ilu57dlnn1VaWppGjRpVqGx+Mtitt95a5Dm3bNkiSWrSpEnBti+//FKmaer2228vWLHtXIGBgYVeU75169ZJku64444iy3711VeSpHvuuafEv9nZSWhnn/uWW24psty2bdvOuz+/Y9CoUaOCbfmv126364orriiyXGZm3ofVs1ep27lzp7755ht17NhRl156qX799dciy5bFNddc43SZ/fv36/7779e8efNcFkdJtm3bphdffFHNmzcvtNLg+QQFBenbb79V//79tXTpUsXGxqpJkyZKTU3V/v37VaVKFV133XWaNWtWsXWwJN99951Gjx6t06dPl6k8ihYYGKhx48apQYMGmjFjRqnuJHH48GFJ0pw5c7R69eoSj/fz89OgQYP022+/afTo0QVJuK4SYNr0groUuz/usTcV91jpViHMlxi3UYlx57+rzPQuDzk8Prxym+Zc93yh4/b+tFSrxn5a+ARm3iDwrhkLSx1Xk8ZNlG2cf/DYWb5QB87HCAxRjWnOfYiMaN1bHWcVP/ASUre5On5/5u+UmbRXuyffrDp3TlZEmz5ljlWSmjRpLDMr/YLOcbaS/n/kO7Jqmw7OX6+6/Tpp+2d57U71rs10eMXW85Yzc+2Ke+QNXTt3klrce7WOrNmhTW/OuqCYXVnPy/L+S75VB1B2ARe1U9TTP5ep7F3/fkLpS79xcUQVL2rUHwqo3dTpcr8uWq4vbxhUDhE5j+sg18GSlKUvJDnXH6qIvtD56rphy1vt/by3C2bSyeOVx2cB+K4aAYFa1rqzw7YWLVvotAXvHmlXgFR1lEvPeVv/BvLzy7tv279va667nl9UQgnnNG7SRDZlF7t/T4eeDo/7XNZHOzPK3nb6+rgAAJzthrseU1h4JSUeSlSdOnUKPYb1+MJnwtKMffjKPImnzJFInlUHzoexIe8bH3R1Pfe2eTKJeRJPUuXB/ym4ddHfuTmfLfsOqU6dTuUQUcUKanuVIv/1QZnKXjX4dmX9vcDFETmvtNdAievg2ax2HfSFsaGS6jrzJL7BmevDwMhovV7/zDz3ls2bdY1FP/f72hh51/BK+rpJ64LHx44dVyeLvrdwDV8fFwCAc/niPIn9rJuyfP/99xoyZEiZzuORyW1//PGHJKlPn+I/bOavSnVuItgXX3yhV155RR988IHmzZunefPm6aGHHlLv3r31yiuvFCSz5WvVqpXCw8MVHx+vpKQk1ahRQ6tXr9Znn32mmjVr6umnn3Y4PjMzU1u35g0a9O7du8jY8pPFzl6BLX8lub59+xb7mnbv3l3ka8rOztbff/8twzB09dVXF1l28eK8u+ldfvnlxZ4/ISFBklSvXr1C55akSy65pFCZ3Nxcbdy4UYZhFLk/JydHW7ZskWEYatOmTcH2/PfwyJEjOnLkSLExSVJsbGzB75dccomSkpIkSR9//LFLk9v69+9fbOLfubZu3arNmzdLOv/ftDw8+OCDyszM1Ntvv62AgACnynbv3l1r167VK6+8orlz52rXrl2qUqWKhg4dqnHjxmn06Lw7FtWsWbNMsU2ePLmg/sN1AgMDlZqaquzsbKWlpSknJ6fEMunp6QX/pqamlni8v7+/srOzlZqaqoMHD7q8cx5o+Ek1XHrKCtFkaD8dXb/LqTuWJSQmKMt07ZcRfaEOnI8tKLRcq4c9M027Xr5elbsMVPVr/n3B50tISJA903UrXJb2/0fWqTTtmblIze66qmCyolbPVtr43+9LLJudkq7crGz5BQXo4F9rS7x7X0lcWc/L+/2XPL8OoOxCgqorqoxljx89rOMHvf/WpJUyM+RcjzBPZnqaDnrI6+c6yHWwJGXpC0nO9Ycqoi90vrqenZIhSfILDiy0L39bdgpfGPJ05fFZAL7LDA6RWjtuS0xI1Mmc4hOmfJYRKFV13elaNY7U2Ic66M8VCbLbTd15XRN9O3eP5sTFu+w5EhMSJPM8bUUHx4eHkw7rYErZbwnv6+MCAHA2+/9/OcWem6uDBw8Wegzr8YXPhN46RyI5P0/iKXMkkmfVgfNhbMj7xgddXc+9bZ5MYp7EkwSlpii45MMKycnK9Im+VeXaSYos+bAiHU1K1GkP+Bs400/gOlg2vnAd9IWxoZLqOvMkvsGZ60Oy/KT6Zx5nZ2f7RNtUJj42Rn40Kks6s+6H7HbGdHBhfH1cAADO5evzJNOmTfOt5LZ9+/ZJckx6OltmZqaWL18uqXAiWHBwsMaMGaMXXnhBq1ev1k8//aR3331X8+fPV79+/bRt2zaHxB4/Pz916tRJ8+fP18qVKzVgwAANHz5cpmlqwoQJCg8Pdzj/li1blJOTo9jYWFWpUqXI+PKT29q3b1+wbf/+vAmBBg0aFFkmLS1NS5YskeSYFCdJmzdvVnZ2tho0aKCqVYvu5R44cECSil2hTjqTANez55k7C5997sqVKxcq8/fffysjI0MNGzYscv+WLVuUmZmphg0bOqwGlh/Pvn37HJLpSmKz2Up9rLPeeuutYuvU2VavXl2QhDhmzBg988wz5RZTUdasWSObzVbkSnkpKSmSpCVLlhTU4+3bt6tSpUoFx9SvX1/vvvtukedeuXKlJKlTp7LdoWvEiBF6/vnnWbnNxQIDAxUWFqaAgACFhoaW6s4T+Z3xkJAQh9UPi+Pn56eAgACFhYUpJiamXO7AJC9ZwMDws+nSt4crLCZa1To01vz7pzhVvnat2uVyV1JvrwPnYwSGlOv5k5fMUPqe9co4uF3JcYVXaWr5xhYFVit9W1S7dm2X35G0tP8/EuM2qtd/hsk/LFg5qRnyCwpUbmbJX37tOfUh+QUFKHnbAbV++HrtmbVYJ3eUvZPrynpe3u+/5Pl1AGVn+GfJzM2W4Vf69C7TNGUYhirlnlJITEw5RlcxbMnxUv3CKzuXxO9komI85PVzHeQ6WJKy9IUk5/pDFdEXOl9dTz2Yd9OXkBqFv4oRWqOqMk+kKCc90+UxwbXK47MAfFeNgMJf0qhVu5bCLbpyW6KLzhXgb9NnL14qu93UA+PzxjrXf3eD3h3dUy1vmKnTqa5JHqxVu/Z5V247V/Ua1XWqckTJBxbD18cFAOBsNj+/gn9jYmIKPYb1+MJnQm+aI5EubJ7EU+ZIJM+qA+fD2JD3jQ+6up572zyZxDyJJwk4fahsBZPjfaJv5WfP+25K/txPaeQfG6k0VfKAv4Gz/QSug87zheugL4wNlVTXmSfxDc5cHyIjHd/rgIAAn2ibysLXxsijwys5PLbZGNPBhfH1cQEAOJcvzpPY7XYlJub1eB577LEyn8cjk9vyG5yMjIwi93/++ec6efKkoqKiin0DDcNQp06d1KlTJz366KNq3bq1EhIStHLlSl177bUOx3bt2lXz58/XqlWrlJGRoUWLFqlt27a66667Cp13/fr1khwT18528uRJ7dmzRyEhIWra9MyyyvnJQMVlh3/66adKSUkp8jXlP+e5SW9nM/9/ye7izh8fH6/Zs2crKChIAwcOLPW5165dK6n411vUKnXSmSSs/Mx4b7FmzRpdccUVOnHiREGSpDvY7faCFeyKkp2dXbDfXsq7LW3evFlbt26Vv79/sSsAlmTw4MEaPHhwmcqiZIcPH9Ztt91W8P/5fLZu3aqvvvpK/fv3V7NmzUo83jAM1atXTz169ChzNvT5ZKdl6IuGrj9veTBz7apUv6bC61XX+tema+9PS50qv33HdgWEluX+eCXz5jpwPuk50sW/lN/5o/oMVVSfoS473/btOxTiwh6SM/8/cjOzdWjpZsX0aa8T2/br5M6SJxya3XmVal/SRmsmfa29Py7RwHmT1Wvav/XLtc+V+Y58rqzn5f3+S55fB3BhRq6S5iWU/njDMNQgQlq5YJZKOc/p0ZYclh5Z5ny5b0f+Q60m/cP1AZUB10Gug6XlTF9Icq4/VBF9ofPV9axTaTq9L0lRrQvf8CaqdX0dW7+rXGKCa5XnZwH4HvPYceXc9aDDti2bt8gIL/mLJr4mNS1b4d0+dcm5xjzUXu2aRenJKcu1Y1/eSmlj3l6ricM7a8qTXXX/2DiXPM+O7dsVFlr8DRayBzrelOqvP/+SUa/OBT+vr44LAMDZXnrzC51KSVWtmrUUHx9f6DGsy5s/E3rTHIl0YfMknjJHInlWHTgfxoa8b3zQ1fXc2+bJJOZJPMneFGnwn86Xe/UfPXXlU77Rt7onTlp/vPQTPoZhqFs16Y0NZZhcKQfO9hO4DjrPl66D3jw2VFJdZ57ENzhzfbAviFPulP8WPG7RsqXif59dXqF5NF8bI7dv3Kzc58YVPI6KqsqYDlzCV8cFAOBcvjhPkpqaWrCo2A033FDm85TfMlkXIH9FqlWrVhXad+DAAY0cOVKS1KZNm1KdLzIyUoGBeXdLrlatWqH93bp1k5S3stnTTz8tSZoyZUqRq4iVlAyWn+zVunVr+f1/FqV05jUtW1Z48CQhIUGjR4+WVHglurOfs7gEM0lq3LixpLxVx85lt9v1wAMPKCsrS/fff7/D6m+lfT3FPXdx5fNXa/v999+LjdkTffrpp0pOTnZrYtuJEydkmmaRP/kxXXrppQXbiltB8GymaRasQHfLLbeoVq1a5fkSUAEaNWqkuXPnqlGjRu4OxSv9eMVT+rLpP7V20tfuDqXMqAO+68Dclap3VWfVubyjDvxeuF0/W8RFNdRx1O06un6XNv5npk7tStDaSd+oWofGavXQwPOWBbzF4Fjny9wUK59IbJOkbtWkOqHOlWleWWpZpVzCqRBcB1Fa3tYf2jd7mWpf3FqVG9Uu2Fbr4taq3ChGe2YtdmNkAOAdurWprhF3ttGyDYc19dNNBdtf/WSjVm0+ovsGNVXfbrXPcwbf4m3tIAAArkZbeGGYJ4EnY3wQOCM2XOoS7VyZqCDpMh/6SshNsc6XKcvckifhOojS8Ma+EPMkwIVhjBxw5I1tIQDg/Dwyua1v376SpJdeeknbt28v2L5s2TJddtllOnHihCTHRLBPPvlETz/9tLZs2eJwruPHj+u+++7T3r171bx5c3Xp0qXQ8+Unt/3+++/avXu3BgwYoMsvv7zI2EpKNCtuJbN+/fpJkl5++eWCc0h5K6P17dtXR44cKbLc+c55tltuybtb8EsvveTwN0hISNCgQYM0e/ZstW3bVi+++GKR5y7u9ZR15babbrpJkjRy5EjNmDGjULlt27Zp9OjRWrJkSbGvyVXuuecejR8/vtBS10WZOnWqZs2a5bbEtgv1yy+/aOlSx7srHjlyRHfccYd+/vlnVatWTVOmTHFTdHAlf39/RUZGyt+fW+ZZFXXAd8X/vloxvdsqtGakMo+dKv5Aw1Cv1/8tm5+f4h75r8zcvLvubX73Jx1euU3tnrhZlZtc+MoBgLt1iJJurV/647tXk264qPziqWg2QxrXQQos5Se3MH/phfbendzHdRCl5W39oY1vzVLmiRT1+/YFtfjXALV+5Eb1ef9JHdu4W7tmLHR3eADg0UKC/fTJhEuUk2vXXc8v1Nk37bTbTd3zQpyysnP1/gu9FH6eFdd8ibe1gwAAuBptIagDvovxQcDRyDZSlcDSHetnSGPbSwEe+W2wsukXI13uRLLeNXWkS2uWXzwVgesgSsMb+0LMkwBlxxg5UJg3toUAgPPzyOGMZ555RpGRkTpw4IBatmyp1q1bq1GjRurevbuaN2+uXr16SXJMbluwYIEmTZqkli1bqnr16urcubNatmyp2rVr68MPP1RMTIymT59e5GpsNWvWLFhpzN/fX5MnTy42tpKS24pLBnvmmWcUFRWlpKQkdezYUS1atFDTpk3VoUMHJScnq3PnzoVeU74NGzZIOn9y27Bhw9SjRw8dOHBAbdq0UfPmzdWmTRvVq1dPP/zwg7p27ao5c+YoIiLCqXOXdeW2p556Sj169NDp06c1ePBgRUVFqVOnTmrfvr2ioqLUrFkzjR8/XvXrO/FN5TIaOnSoRo0apcqVK5d4rM1m08CBrrlz0eLFixUdHV3w8/XXeXc+nDp1qsP2xYtdd+eZ3377TT169FCVKlXUvn17tW7dWrVq1dLnn3+umJgY/fHHH6pRo4bLng/uEx8fryeeeMJrlx/FhaMO+K7M5BSd2B6v9CMnz3tcy39dqxpdm2vt5G90YvtZ9cA0FffYGzJNU72mPSyjiL4P4E0MQxreSrqtQcnHXlxDmtRZ8vexat+mqvSfblJ4CeNxVQOlN7tLjSpVTFzlhesgSsvb+kOZx05pzg2jlbxln9o/dYta3HeN9s9dqXn/eFH2rBx3hwcAHm3S8C5qEltZY95eq617CvcRNmw/rokfbVBsTIQmPd7ZDRFWPG9rBwEAcDXaQlAHfBfjg4CjuuHSOz2kGsHnPy7YT3q1s9StesXEVVFshjS+g3RlTMnHDqwnPd/Ou28AKHEdROl4Y1+IeRKg7BgjBwrzxrYQAHB+HvnptV69elq0aJGuvvpqBQcHa9++fapWrZo++OADzZo1S1u3bpXkmAh2//33a+TIkerZs6cCAwO1YcMG7d+/X61atdK4ceO0efNmtWjRotjnbNasmSTpgQceKPj9XPHx8Tp+/LiioqJUp07Rd7YpbiWzunXrKi4uTgMGDFBISIj27Nkj0zQ1bNgwrVmzpsjV6PKf89ixY4qOji72OSUpMDBQ8+bN0/PPP68GDRpo9+7dSkxMVM+ePfXuu+8qLi5OtWo53soo/9zFvZ69e/cqOTlZNWrUUM2ahW9rdL7YQkND9ddff+m1115Tt27dlJ2drQ0bNigpKUkNGjTQ8OHD9eeffxaKyZdkZ2fr2LFjBT+ZmZmSpPT0dIft2dnZLnvO66+/XrfeequioqK0bds27du3T61bt9a4ceP0999/q3Xr1i57LrhXSkqKFi1apJSUFHeHAjehDvi2XdMXav+vK4rdX7lxjNqPuEWHV23T5nd+KrT/1O5ErZn4laq1b6xW/76+HCMFKoafIT3RSvpfr7w7bp67itnFNaTXu0pTukghPnpDpk7R0szLpYebSzVDHPfVDZOGt5S+u0xqVfJixV6B6yBKwxv7Q6d2Jej3IS/pi0ZD9U3rexT36BvKOHr+LygAAKRhLy+V0eZDTfxoQ7HHjH5zjYw2H+qhCUsqMDL38cZ2EAAAV6ItBHXAtzE+CDhqVEn6po80orXUIKLw/vuaSDMvky728hXLihPoJ03oIL3dXepTK2/eKJ+fIV1RW3qvp/R8W9+5ASLXQZTEW/tCzJMAZcMYOVCYt7aFAIDieexXP1u2bKnZs2cX2n78+HElJibK39/fIVmtW7du6tatW5mea+/evfrrr79UpUoVjRkzptjj6tSpI/Ps9XyLkJ/cVpRmzZrpp58KDyhI0vbt28v8nPlCQ0M1btw4jRs3rlTHl3Tu2NjY8+4vqXxgYKAee+wxPfbYY6WKx9f07t271O9daY0ZM+a8dbR3797q3bu3S58TAFDxdnz5x3n3n9xxUJ83uP28x2x592dtefdnV4YFuF3rqnk/I9pIvX+RTEmGpNe6ujuyilE1SLqrsXRHIykpXUrLyVvNrXpI3p1LfQnXQQAAAAAAAMC6GB8ECgsPkG6uL90UKyVlSNfOOzNP8q+i7+HtUwxD6lwt7+dUlnQ8U5IhRQfl/W18DddBAAAAAIDVeGxyW3E2btwoKS9RLCgoyCXnfOqpp5Sdna3Ro0crKirKJedE2U2fPl2StGrVKknSnDlzVK1aNcXGxqpTp07uDA2Ai/iHBeuan17UH3e8opT4I6p/Qy+1/vcNkqTT+w5p8fC3lHUyVU2GXqF2j99UcJemA3+s0dpXvlJYTLQufuMRhURX1sldCVr48OvKSc3QVTPGKrRWVa179VvtnrnI4TnvTJyuj2sNVnS7Rrromm5a/eLnunL6GEW3a6g/hr6iQ0s3V/jfAQBQNmH+eZO1+ZO2VuNnSLVD3R0FAAAAAAAAyoI5EgDAhTAMqWaItedJKgXm/QAAAAAAAN/htcltbdu2dcn53nnnHU2fPl1t2rTRsGHDXHJOXJibbrrJ4fFDDz0kSfrnP/+pjz/+2A0RAXCl6PaN1WPS/arUsLYkKbRmVXUaNVQ/9ntKmcdOqf0zt6ndkzdrxfP/U3S7Rlr27AfaP2eFwzm6vXyftn82T7tnLlKb4YPV7smbtWrsp5KkJU+8c95J2CpN6iikWmVJ0tzBY3TVjLHl9EpREbY+00tNX1ygwz+/rqPzPpRsNoU16qx6D74jWwAzGgAA30dbCAAAAACA92COBK7EuBAAwOpoCwEAAADAd9jcHYCzXJHctmzZMvXu3VvNmjXTgw8+qLCwMH3++efy9/e6XD+fZJpmkT8ktgFnVKtWTY8++qiqVavm7lCc1vSOK7Rs1EdKT0qWJJl2u5aOeFeZx05Jko5v3KOwmGhJUnS7Rmoy5AoN/GOKev1nmAIrhcrw91ONbs2158clkqSd3/yl2AHdCz1PeJ1q6j9rvAbOm6zuE++XJAVFhqvdiFtUt18ntR0+uCJebrnx5jrgKpmH9ykwuq7Sdq3W0T/+p2avrlCL1zfIzM3WkV/edHd4KCc5KcnacHcdrRsSrS2PtdPmh5trzaAg7XvrX+4ODQAqnNXbQvpDAAArox0EAFidt7aFzJG4jrfWAVex+riQVTFHAgBnWL0ttHpfCAAA2kIA8D1el82Vn9zWpk2bMp9jwYIFWrBggSpVqqS+ffvqpZdeUuvWrV0VIgCUu6ioKN1+++3uDqNMFg9/y+Fx+uETiv9jjSTJLyRQrR+5QVs/+lUyDKUmHNWG16bryJod6jDyH+oy4R6tnvCZsk+ny8zJzSuflKyQ6lUKPU/Xl+7VrukLtf2zeWpw48Vqekc/ZSanaN2kb1SzR0utf216ub/W8uTNdcAZOSnJ2vJIa9mzMhQYXUdmdqYyD+1W1OV3KiS2rSp36C+/8EjVu/8N+QWHSZJCYtsq68h+N0eO8uIfHqmql/xDfmFVVOumZ3VyzVwlzZyoix56192hAUC5oC0snlX6QwAAFIV2EABgdd7aFjJH4jreWgecwbgQzsUcCQCroS0snhX6QgAAnA9tIQD4Hq9buW3JkiUyTVNXXnllmc/x9NNPyzRNnTx5UvPmzVPnzp1dGCEAlL9Tp07p999/16lTp9wdissERYar31fP6/jGPdr5zV+SaeqPoS/ryJodkqRNb/6gun07yLDZJNN0LGw3C52vZo8W2vN9nCRp9/dxys3KLvfXUJF8sQ4UJX+SrsZ1j6vFtHWqc880hTfvqYseelen1vyqSh2uUnDtxopodakkKfvEYR355Q1V6TLQzZGjPKXtWafQBu3zft+1WiH127k3IAAoR7SFxbNKfwgAgKLQDgIArM7X2kLmSJzna3WgKIwLoSjMkQCwEtrC4lmhLwQAwPnQFgKA7/G65DYAgJSQkKBnn31WCQkJ7g7FJcLqROvqH1/U4ZXbtOTJdyRJQVGV1Ozu/gXHGH422XPtSj96UgGVQmX45TVhITUilZaUXPikpiTD+P/fzSInd72Zr9WB8ylqks6enanc9NMKqFK94LjMpL3aPqqPoq+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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 180, @@ -717,9 +715,8 @@ }, { "data": { - "image/png": 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", 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+++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/tutorials/repetition-codes.ipynb b/docs/tutorials/repetition-codes.ipynb index 284ab949139..5255b2e1f5e 100644 --- a/docs/tutorials/repetition-codes.ipynb +++ b/docs/tutorials/repetition-codes.ipynb @@ -407,7 +407,7 @@ "id": "609c0c47", "metadata": {}, "source": [ - "### Step 2. Optimize the problem for quantum hardware execution\n", + "### Step 2: Optimize the problem for quantum hardware execution\n", "\n", "To reduce the total job execution time, Qiskit primitives only accept circuits and observables that conform to the instructions and connectivity supported by the target system (referred to as instruction set architecture (ISA) circuits and observables). [Learn more about transpilation](/docs/guides/transpile)." ] @@ -593,7 +593,7 @@ "id": "bcd61a1f", "metadata": {}, "source": [ - "### Step 3. Execute using Qiskit primitives" + "### Step 3: Execute using Qiskit primitives" ] }, { @@ -646,7 +646,7 @@ "id": "1b652319", "metadata": {}, "source": [ - "### Step 4. Post-process and return result in desired classical format\n", + "### Step 4: Post-process and return result in desired classical format\n", "\n", "We will now compare the error rates vs. time between the logical memory using the 3-qubit repetition code on the one hand, and the individual unencoded reference qubits on the other hand." ]