The Structure of Shared Classical Facts in Quantum Systems
Abstract
Perfectly matching local outcomes need not constitute a nondisturbing shared classical record. For finite-dimensional multipartite states, we prove that nontrivial exact records are equivalent to a spectrum sharing structure with a unique finest decomposition into locally distinguishable sectors, where entanglement may persist. For a fixed complete pointer, exact sharing is equivalent to strong quantum Darwinism together with global nondisturbance, while spectrum broadcast structure additionally requires conditional independence. Arbitrarily weak full-rank admixtures eliminate exact sharing, but two-sided distance bounds quantify robustness through disturbance and disagreement, while information bounds connect accurate local readouts to observer consensus.
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BibTeX
@misc{gu2026structure,
title = {{The Structure of Shared Classical Facts in Quantum Systems}},
author = {Jie Gu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05955},
eprint = {2611.05955},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05955},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Structure of Shared Classical Facts in Quantum Systems
AU - Jie Gu
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05955
UR - https://arxiv.org/abs/2611.05955
AB - Perfectly matching local outcomes need not constitute a nondisturbing shared classical record. For finite-dimensional multipartite states, we prove that nontrivial exact records are equivalent to a spectrum sharing structure with a unique finest decomposition into locally distinguishable sectors, where entanglement may persist. For a fixed complete pointer, exact sharing is equivalent to strong quantum Darwinism together with global nondisturbance, while spectrum broadcast structure additionally requires conditional independence. Arbitrarily weak full-rank admixtures eliminate exact sharing, but two-sided distance bounds quantify robustness through disturbance and disagreement, while information bounds connect accurate local readouts to observer consensus.
ER -