Attosecond Entanglement Dynamics and Universal Statistics in Hybrid Quantum Circuits — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Entanglement formation time measured in attoseconds; hybrid quantum circuits show universal statistical laws via random-matrix theory. | MATH: Attosecond scale = 10⁻¹⁸ s; entanglement entropy growth follows S(t) ~ t (linear) for volume-law phases, S(t) ~ log(t) for area-law phases; random-matrix ensembles (GUE/GOE/GSE) with spectral statistics governed by Wigner-Dyson distributions; hybrid circuits parameterized by measurement rate p with phase transition at critical p_c. | CONNECTION: Random-matrix universality classes map to Dyson's threefold way — orthogonal (β=1), unitary (β=2), symplectic (β=4) — which correspond to root systems of Lie algebras (A_n, B_n/C_n, D_n) and crystallographic reflection groups. The critical measurement rate p_c in hybrid circuits often emerges near values consistent with percolation thresholds on lattices (e.g., p_c ≈ 0.5 for 1D, related to golden ratio conjugates in some mappings). | DEPTH: 7 — solid mathematical structure (RMT, phase transition
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026attosecond,
title = {{Attosecond Entanglement Dynamics and Universal Statistics in Hybrid Quantum Circuits — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23587144},
url = {https://zenodo.org/records/23587144},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Attosecond Entanglement Dynamics and Universal Statistics in Hybrid Quantum Circuits — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23587144
UR - https://zenodo.org/records/23587144
AB - FINDING: Entanglement formation time measured in attoseconds; hybrid quantum circuits show universal statistical laws via random-matrix theory. | MATH: Attosecond scale = 10⁻¹⁸ s; entanglement entropy growth follows S(t) ~ t (linear) for volume-law phases, S(t) ~ log(t) for area-law phases; random-matrix ensembles (GUE/GOE/GSE) with spectral statistics governed by Wigner-Dyson distributions; hybrid circuits parameterized by measurement rate p with phase transition at critical p_c. | CONNECTION: Random-matrix universality classes map to Dyson's threefold way — orthogonal (β=1), unitary (β=2), symplectic (β=4) — which correspond to root systems of Lie algebras (A_n, B_n/C_n, D_n) and crystallographic reflection groups. The critical measurement rate p_c in hybrid circuits often emerges near values consistent with percolation thresholds on lattices (e.g., p_c ≈ 0.5 for 1D, related to golden ratio conjugates in some mappings). | DEPTH: 7 — solid mathematical structure (RMT, phase transition Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -