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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)177 |
| _version_ | 1818683458322432000 |
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| author | Chris Akers Sergio Hernández-Cuenca Pratik Rath |
| author_facet | Chris Akers Sergio Hernández-Cuenca Pratik Rath |
| author_sort | Chris Akers |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-17T10:35:03Z |
| format | Article |
| id | doaj.art-d3e52f70af4d4f0190d4388b8f1775dd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T10:35:03Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d3e52f70af4d4f0190d4388b8f1775dd2022-12-21T21:52:26ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211112910.1007/JHEP11(2021)177Quantum Extremal Surfaces and the Holographic Entropy ConeChris Akers0Sergio Hernández-Cuenca1Pratik Rath2Center for Theoretical Physics, Massachusetts Institute of TechnologyDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract 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.https://doi.org/10.1007/JHEP11(2021)177AdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Chris Akers Sergio Hernández-Cuenca Pratik Rath Quantum Extremal Surfaces and the Holographic Entropy Cone Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
| title | 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_short | Quantum Extremal Surfaces and the Holographic Entropy Cone |
| title_sort | quantum extremal surfaces and the holographic entropy cone |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence |
| url | https://doi.org/10.1007/JHEP11(2021)177 |
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