Quantum Extremal Surfaces and the Holographic Entropy Cone
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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.
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If the bulk entropies obey the monogamy of mutual information, then the dual boundary entropies also obey the same.
“where it was shown that if the bulk entropies obey the monogamy of mutual information [66] then the dual boundary entropies also obey the same.”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [89]
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- Authors
- Akers, C., Hernández-Cuenca, S., & Rath, P.
- Affiliations
- Massachusetts Institute of Technology (US)
- University of California, Santa Barbara (US)
- Corresponding author
- Hernández-Cuenca, Sergio
- Venue
- Journal of High Energy Physics
- Published
- 2021-11
- Volume
- 2021
- Issue
- 11
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W3194276340
- Cited by
- 32
- References
- 79
- Citations by year
- 2026: 2 · 2025: 11 · 2024: 4 · 2023: 2 · 2022: 12 · 2021: 1
- FWCI
- 1.25
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
- arXiv (Cornell University) (cc-by)
- Funders
- National Science Foundation (1801805, 2107939)
- U.S. Department of Energy (DESC0019127, DESC0018944)
- Simons Foundation
- University of California, Santa Barbara
- Air Force Office of Scientific Research (FA9550-, FA9550-19- 1-0360)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum extremal surfaces, Ryu-Takayanagi formula, entropy inequality, boundary entropy, quantum corrections, holography
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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