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
NLS/Gross–Pitaevskii on a lumpy torus — a spectral-geometry solver and a gallery of numerical experiments (solitons, collapse control, analog gravity/cosmology, quantum chaos, topological & Floquet transport), packaged as an MCP toolkit for numerically-grounded agent inference.
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.
Spectra of noisy parameterized quantum circuits: Single-Ring universality
Publishing this library to speed up civilization
Official repository for the Modular Projection Sieve: a sublinear Θ(√N/log N) memory algorithm based on Kmin± prime-coprime entanglement over (ℤ/6ℤ)ˣ. Features discrete spectral operator analysis (GOE quantum chaos), Lean 4 formal proofs, and reproducible Python/Numba execution up to N=10⁹.
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.
Kvantni haos / RMT (Random Matrix Theory) . GOE + Wigner-Dyson weighted ensemble. Spektralna statistika, level repulsion.
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.
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.
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).
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