Quantum Extremal Surfaces and the Holographic Entropy Cone

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 long...

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Autores principales:	Chris Akers, Sergio Hernández-Cuenca, Pratik Rath
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/d3e52f70af4d4f0190d4388b8f1775dd
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id	oai:doaj.org-article:d3e52f70af4d4f0190d4388b8f1775dd
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spelling	oai:doaj.org-article:d3e52f70af4d4f0190d4388b8f1775dd2021-11-28T12:39:11ZQuantum Extremal Surfaces and the Holographic Entropy Cone10.1007/JHEP11(2021)1771029-8479https://doaj.org/article/d3e52f70af4d4f0190d4388b8f1775dd2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)177https://doaj.org/toc/1029-8479Abstract 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.Chris AkersSergio Hernández-CuencaPratik RathSpringerOpenarticleAdS-CFT CorrespondenceGauge-gravity correspondenceNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-29 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Chris Akers Sergio Hernández-Cuenca Pratik Rath Quantum Extremal Surfaces and the Holographic Entropy Cone
description	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.
format	article
author	Chris Akers Sergio Hernández-Cuenca Pratik Rath
author_facet	Chris Akers Sergio Hernández-Cuenca Pratik Rath
author_sort	Chris Akers
title	Quantum Extremal Surfaces and the Holographic Entropy Cone
title_short	Quantum Extremal Surfaces and the Holographic Entropy Cone
title_full	Quantum Extremal Surfaces and the Holographic Entropy Cone
title_fullStr	Quantum Extremal Surfaces and the Holographic Entropy Cone
title_full_unstemmed	Quantum Extremal Surfaces and the Holographic Entropy Cone
title_sort	quantum extremal surfaces and the holographic entropy cone
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/d3e52f70af4d4f0190d4388b8f1775dd
work_keys_str_mv	AT chrisakers quantumextremalsurfacesandtheholographicentropycone AT sergiohernandezcuenca quantumextremalsurfacesandtheholographicentropycone AT pratikrath quantumextremalsurfacesandtheholographicentropycone
_version_	1718407860182843392

Quantum Extremal Surfaces and the Holographic Entropy Cone

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