Entanglement Entropy Universality in Hybrid Quantum Circuits: A Random-Matrix Perspective — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are dominated by applied AI/software engineering papers (clinical QA, REST API testing, multi-agent systems) and two older quantum-network theory papers — no new 2025/2026 experimental entanglement breakthrough is present. The only mathematically substantive item is the hybrid quantum circuits paper (2111.08018), which frames entanglement dynamics via random-matrix/stat-mech universality. | MATH: The core claim is that entanglement entropy S in hybrid circuits (unitary + measurement) obeys a universal scaling law: S ∼ α log L for volume-law phase (α → 1) and S ∼ const for area-law, with a critical point at measurement rate pc where S ∼ c log L (conformal field theory central charge c). The random-matrix ensemble average replaces individual trajectories: ⟨ S ⟩ = ∫ dU Tr(ρA log ρA) over Haar measure. No new constants or ratios appear in the abstracts. | CONNECTION:
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026entanglement,
title = {{Entanglement Entropy Universality in Hybrid Quantum Circuits: A Random-Matrix Perspective — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553754},
url = {https://zenodo.org/records/23553754},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Entanglement Entropy Universality in Hybrid Quantum Circuits: A Random-Matrix Perspective — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553754
UR - https://zenodo.org/records/23553754
AB - FINDING: The search results are dominated by applied AI/software engineering papers (clinical QA, REST API testing, multi-agent systems) and two older quantum-network theory papers — no new 2025/2026 experimental entanglement breakthrough is present. The only mathematically substantive item is the hybrid quantum circuits paper (2111.08018), which frames entanglement dynamics via random-matrix/stat-mech universality. | MATH: The core claim is that entanglement entropy S in hybrid circuits (unitary + measurement) obeys a universal scaling law: S ∼ α log L for volume-law phase (α → 1) and S ∼ const for area-law, with a critical point at measurement rate p_c where S ∼ c log L (conformal field theory central charge c). The random-matrix ensemble average replaces individual trajectories: ⟨ S ⟩ = ∫ dU Tr(ρ_A log ρ_A) over Haar measure. No new constants or ratios appear in the abstracts. | CONNECTION: Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -