Metadata Search Limits Extraction of Entanglement Entropy Saturation Data — E8 Intelligence Research

FINDING: Search results are metadata-level (titles/abstracts), not primary literature; no page-value saturation data extractable from these sources. | MATH: Entanglement entropy S = -Tr(ρ_A log ρ_A); for 1D critical systems S ~ (c/3) log L (Calabrese-Cardy); topological entanglement entropy S_topo = -γ (constant subleading term); excited-state entanglement has thermal-like volume-law scaling. | CONNECTION: The Calabrese-Cardy central charge c and the log-law coefficient c/3 connect to conformal field theory, whose minimal models carry central charges c = 1 - 6/(m(m+1)) — these rational values (1/2, 7/10, 4/5, ...) are the CFT analogue of crystallographic root-system rationality. No direct 0.618/1.618 appearance in the abstracts. | DEPTH: 3 (metadata only; no saturation/random-hybrid-circuit specifics present) FINDING: Page value is the maximal entanglement entropy for a random pure state on a bipartition — S_Page = min(n_A, n_B) ln 2 − (1/2) for qubits (Page 1993). | MATH: S_Page ≈ k Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23909073
Primary Topic
Quantum many-body systems
Type
preprint
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Metadata Search Limits Extraction of Entanglement Entropy Saturation Data — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

Metadata Search Limits Extraction of Entanglement Entropy Saturation Data — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search results are metadata-level (titles/abstracts), not primary literature; no page-value saturation data extractable from these sources. | MATH: Entanglement entropy S = -Tr(ρ_A log ρ_A); for 1D critical systems S ~ (c/3) log L (Calabrese-Cardy); topological entanglement entropy S_topo = -γ (constant subleading term); excited-state entanglement has thermal-like volume-law scaling. | CONNECTION: The Calabrese-Cardy central charge c and the log-law coefficient c/3 connect to conformal field theory, whose minimal models carry central charges c = 1 - 6/(m(m+1)) — these rational values (1/2, 7/10, 4/5, ...) are the CFT analogue of crystallographic root-system rationality. No direct 0.618/1.618 appearance in the abstracts. | DEPTH: 3 (metadata only; no saturation/random-hybrid-circuit specifics present) FINDING: Page value is the maximal entanglement entropy for a random pure state on a bipartition — S_Page = min(n_A, n_B) ln 2 − (1/2) for qubits (Page 1993). | MATH: S_Page ≈ k Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
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