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High Energy Physics - Theory

arXiv:2108.07280 (hep-th)
[Submitted on 16 Aug 2021 (v1), last revised 8 Sep 2021 (this version, v2)]

Title:Quantum Extremal Surfaces and the Holographic Entropy Cone

Authors:Chris Akers, Sergio Hernández-Cuenca, Pratik Rath
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Abstract:Quantum states with geometric duals are known to satisfy a stricter set of entropy inequalities than those obeyed by general quantum systems. The set of allowed entropies derived using the Ryu-Takayanagi (RT) formula defines the Holographic Entropy Cone (HEC). These inequalities are no longer satisfied once general quantum corrections are included by employing the Quantum Extremal Surface (QES) prescription. Nevertheless, the structure of the QES formula allows for a controlled study of how quantum contributions from bulk entropies interplay with HEC inequalities. In this paper, we initiate an exploration of this problem by relating bulk entropy constraints to boundary entropy inequalities. In particular, we show that requiring the bulk entropies to satisfy the HEC implies that the boundary entropies also satisfy the HEC. Further, we also show that requiring the bulk entropies to obey monogamy of mutual information (MMI) implies the boundary entropies also obey MMI.
Comments: 21 pages, 4 figures, 1 appendix, citations added in v2
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
Cite as: arXiv:2108.07280 [hep-th]
  (or arXiv:2108.07280v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2108.07280
Journal reference: JHEP 11 (2021) 177
Related DOI: https://doi.org/10.1007/JHEP11%282021%29177

Submission history

From: Pratik Rath [view email]
[v1] Mon, 16 Aug 2021 18:00:03 UTC (3,660 KB)
[v2] Wed, 8 Sep 2021 00:17:28 UTC (3,661 KB)
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