Python framework for quantum chaos diagnostics in SYK and Hubbard models. Features Jordan-Wigner transformation, level spacing ratio analysis, OTOC computation, and disorder averaging with statistical methods.
A series of simulation codes used to emulate quantum-like networks in the simulation of emergent adaptive behavior, such as network synchronization, and relate the nature of the coupled harmonic oscillators with non-local behavior and chimera states in systems of quantum particles. Coding Used is based on mathematical modelling of transport in q…
High-Entropy Randomness Research Toolkit. High-Entropy Random Number Generation (HE-RNG).
Boundary Element Method (BEM) based spectrum solver and visualiser for 2D quantum billiard problems.
Minimal code and results from the paper 'Unveiling Order from Chaos by approximate 2-localization of random matrices'
Wolfram Engine, Dynamical systems, Lyapunov, Quantum Chaos, Level-spacing
Project for the Quantum Information and Computing course, 2020/2021
Libraries for several quantum stuff.
Experimental Detection of Dissipative Quantum Chaos
Spectra of noisy parameterized quantum circuits: Single-Ring universality
Publishing this library to speed up civilization
First explicit, parameter-free Hermitian Hamiltonian for the Riemann zeros based on Z/6Z modular arithmetic. Achieves R^2=0.999997 accuracy via Lambert W inversion and proves the existence of arithmetic quantum chaos through a multifractal Spectral Form Factor.
Framework for spectral confinement in Ring-LWE. Proves ETH violation via the Pi_2 Gaussian primorial attractor. Features IPR analysis yielding a sub-extensive fractal dimension D2 ~ 0.2329 and geometric renormalization (eps = pi*sqrt(2G)) based on Catalan's constant. Includes reproducible Jupyter Notebooks for lattice cryptanalysis.
ZBIT-CORE-v2: Scalable Floquet-topological quantum simulator (500+ qubits) with HOTRG tensor networks & hybrid QML. 100x speedup vs ED. 9/9 validation. CC BY-NC-ND 4.0 — commercial use requires license.
Evaluating the Riemann Hypothesis in Lean 4 via p-adic shift operators and tensor networks.
Swiss army knife of quantum chaos microwave resonator data analysis
Kvantni haos / RMT (Random Matrix Theory) . GOE + Wigner-Dyson weighted ensemble. Spektralna statistika, level repulsion.
Demonstração operacional da emergência da estatística do Gaussian Orthogonal Ensemble (GOE) na aritmética dos números primos sob a escala logarítmica. Análise espectral baseada em ressonância estrutural, independente de autoridades centrais e de segredos computacionais. Inclui livro e notebooks reproduzíveis (Python).
A simple but fast (ideally), multithreaded (we'll see) spectrum solver for 2D Helmholtz quantum billiard problems. Implements a Boundary Element Method (BEM) to construct boundary data, assemble boundary integral operators, and scan wavenumbers to approximate resonant modes. Includes simple spectrum and billiard visualisations.
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