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…
Leymosun Science: Quantum Research Toolkit
Minimal code and results from the paper 'Unveiling Order from Chaos by approximate 2-localization of random matrices'
Boundary Element Method (BEM) based spectrum solver and visualiser for 2D quantum billiard problems.
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
Demonstrates the emergence of a multifractal Non-Ergodic Extended (NEE) phase in arithmetic quantum chaos. Uses a Riemann-von Mangoldt scaffold and a Z/6Z modular PRBM mask to generate sub-diffusive spectral dynamics strictly bounded by Euler's totient fraction.
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.
A Hipótese de Riemann (HR) afirma que todos os zeros não triviais de $\zeta(s)$ têm parte real $\Re(s) = 1/2$. A matemática pura não conseguiu provar isso em 165 anos.
Kvantni haos / RMT (Random Matrix Theory) . GOE + Wigner-Dyson weighted ensemble. Spektralna statistika, level repulsion.
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.
Swiss army knife of quantum chaos microwave resonator data analysis
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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