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…

Quantum Chaos simulations

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'

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.

Wolfram Engine, Dynamical systems, Lyapunov, Quantum Chaos, Level-spacing

Project for the Quantum Information and Computing course, 2020/2021

Libraries for several quantum stuff.

Spectra of noisy parameterized quantum circuits: Single-Ring universality

Experimental Detection of Dissipative Quantum Chaos

Publishing this library to speed up civilization

"$\hat{H} = xp + i\lambda(xe^{-x^2} + \epsilon \cos x)$ | Proving the spectral reality of Riemann Zeros through Half-Integer Topology and Maslov Index correction."

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.

Computational investigation of the spectral structure of arithmetic. Using deterministic constructions based on prime counting, the project shows that, at the appropriate scale, universal signatures of quantum chaos (GOE) emerge, without relying on explicit physical dynamical models.

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.