exceptional-points

This repository provide the codes that support the results in our paper: https://link.aps.org/doi/10.1103/q8p7-k7ms

Foundational research for the generator-first SymC framework: stability boundaries, spectral and modal structure, exceptional points, and prospective substrate-inheritance tests.

Official implementation of Non-Hermitian Spectral Steering (NHSS) quantum paradigm using IBM Dynamic Circuits.

Computational condensed matter physics framework for studying non-Hermitian topology, PT symmetry breaking, exceptional points, skin effects, winding topology, and complex spectra in SSH-type lattice Hamiltonians.

Cosmological applications of the SymC framework. Applies χ ≈ 1 stability principles to universe-scale phenomena including cosmic acceleration onset, black hole thermodynamics, and cyclical cosmology. Demonstrates framework consistency from quantum boundaries to cosmic structure.Retry

Specifically showed that eigenvalue variations under a perturbation are not a good measure of the overall sensor performance near an Exceptional Point.

A library to locate exceptional points from analytical dispersion equations.

Palindromic Liouvillian symmetry under dephasing: proven for any Heisenberg graph, verified N=2–8 (87,376 eigenvalues, zero exceptions). Absorption Theorem Re(λ) = −2γ⟨n_XY⟩, golden-ratio mirrors, noise that reads its own spectrum; 17 predictions confirmed on IBM hardware. A living research notebook, Thomas Wicht & Claude. R = CΨ²

Empirical engine for the Ma-Chao Equation (v3.6). Mapping non-Hermitian singularities and topological phase transitions in information-fluid manifolds.

🧬 Explore NHSS-Quantum-Computing, a novel approach using Non-Hermitian dynamics for quantum computation with Exceptional Points as key resources.