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High Energy Physics - Theory

arXiv:2111.05355 (hep-th)
[Submitted on 9 Nov 2021]

Title:Holevo Information and Ensemble Theory of Gravity

Authors:Xiao-Liang Qi, Zhou Shangnan, Zhenbin Yang
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Abstract:Holevo information is an upper bound for the accessible classical information of an ensemble of quantum states. In this work, we use Holevo information to investigate the ensemble theory interpretation of quantum gravity. We study the Holevo information in random tensor network states, where the random parameters are the random tensors at each vertex. Based on the results in random tensor network models, we propose a conjecture on the holographic bulk formula of the Holevo information in the gravity case. As concrete examples of holographic systems, we compute the Holevo information in the ensemble of thermal states and thermo-field double states in the Sachdev-Ye-Kitaev model. The results are consistent with our conjecture.
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.05355 [hep-th]
  (or arXiv:2111.05355v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.05355
Related DOI: https://doi.org/10.1007/JHEP02%282022%29056

Submission history

From: Zhenbin Yang [view email]
[v1] Tue, 9 Nov 2021 19:02:26 UTC (1,067 KB)
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