Holographic entropy relations repackaged
Abstract
We explore the structure of holographic entropy relations (associated with ‘information quantities’ given by a linear combination of entanglement entropies of spatial sub-partitions of a CFT state with geometric bulk dual). Such entropy relations can be recast in multiple ways, some of which have significant advantages. Motivated by the already-noted simplification of entropy relations when recast in terms of multipartite information, we explore additional simplifications when recast in a new basis, which we dub the K-basis, constructed from perfect tensor structures. For the fundamental information quantities such a recasting is surprisingly compact, in part due to the interesting fact that entropy vectors associated to perfect tensors are in fact extreme rays in the holographic entropy cone (as well as the full quantum entropy cone). More importantly, we prove that all holographic entropy inequalities have positive coefficients when expressed in the K-basis, underlying the key advantage over the entropy basis or the multipartite information basis.
- Authors:
-
[1];
- Univ. of California, Davis, CA (United States)
- Brandeis Univ., Waltham, MA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1597598
- Grant/Contract Number:
- SC0009999
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
He, Temple, Headrick, Matthew, and Hubeny, Veronika E. Holographic entropy relations repackaged. United States: N. p., 2019.
Web. https://doi.org/10.1007/JHEP10(2019)118.
He, Temple, Headrick, Matthew, & Hubeny, Veronika E. Holographic entropy relations repackaged. United States. https://doi.org/10.1007/JHEP10(2019)118
He, Temple, Headrick, Matthew, and Hubeny, Veronika E. Wed .
"Holographic entropy relations repackaged". United States. https://doi.org/10.1007/JHEP10(2019)118. https://www.osti.gov/servlets/purl/1597598.
@article{osti_1597598,
title = {Holographic entropy relations repackaged},
author = {He, Temple and Headrick, Matthew and Hubeny, Veronika E.},
abstractNote = {We explore the structure of holographic entropy relations (associated with ‘information quantities’ given by a linear combination of entanglement entropies of spatial sub-partitions of a CFT state with geometric bulk dual). Such entropy relations can be recast in multiple ways, some of which have significant advantages. Motivated by the already-noted simplification of entropy relations when recast in terms of multipartite information, we explore additional simplifications when recast in a new basis, which we dub the K-basis, constructed from perfect tensor structures. For the fundamental information quantities such a recasting is surprisingly compact, in part due to the interesting fact that entropy vectors associated to perfect tensors are in fact extreme rays in the holographic entropy cone (as well as the full quantum entropy cone). More importantly, we prove that all holographic entropy inequalities have positive coefficients when expressed in the K-basis, underlying the key advantage over the entropy basis or the multipartite information basis.},
doi = {10.1007/JHEP10(2019)118},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {2019},
month = {10}
}
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Works referenced in this record:
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006
- Ryu, Shinsei; Takayanagi, Tadashi
- Physical Review Letters, Vol. 96, Issue 18
A covariant holographic entanglement entropy proposal
journal, July 2007
- Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
- Journal of High Energy Physics, Vol. 2007, Issue 07
Building up spacetime with quantum entanglement
journal, June 2010
- Van Raamsdonk, Mark
- General Relativity and Gravitation, Vol. 42, Issue 10
Cool horizons for entangled black holes
journal, August 2013
- Maldacena, J.; Susskind, L.
- Fortschritte der Physik, Vol. 61, Issue 9
APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory
journal, October 2018
- Witten, Edward
- Reviews of Modern Physics, Vol. 90, Issue 4
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014
- Wall, Aron C.
- Classical and Quantum Gravity, Vol. 31, Issue 22
Proof of the strong subadditivity of quantum‐mechanical entropy
journal, December 1973
- Lieb, Elliott H.; Ruskai, Mary Beth
- Journal of Mathematical Physics, Vol. 14, Issue 12
Bulk locality and cooperative flows
journal, December 2018
- Hubeny, Veronika E.
- Journal of High Energy Physics, Vol. 2018, Issue 12
Bit Threads and Holographic Entanglement
journal, November 2016
- Freedman, Michael; Headrick, Matthew
- Communications in Mathematical Physics, Vol. 352, Issue 1
The holographic entropy cone
journal, September 2015
- Bao, Ning; Nezami, Sepehr; Ooguri, Hirosi
- Journal of High Energy Physics, Vol. 2015, Issue 9
Holographic Entropy Relations
journal, September 2018
- Hubeny, Veronika E.; Rangamani, Mukund; Rota, Massimiliano
- Fortschritte der Physik, Vol. 66, Issue 11-12
The Holographic Entropy Arrangement
journal, February 2019
- Hubeny, Veronika E.; Rangamani, Mukund; Rota, Massimiliano
- Fortschritte der Physik, Vol. 67, Issue 4
Handlebody phases and the polyhedrality of the holographic entropy cone
journal, October 2017
- Marolf, Donald; Rota, Massimiliano; Wien, Jason
- Journal of High Energy Physics, Vol. 2017, Issue 10
Holographic partition functions and phases for higher genus Riemann surfaces
journal, May 2016
- Maxfield, Henry; Ross, Simon F.; Way, Benson
- Classical and Quantum Gravity, Vol. 33, Issue 12
Holographic duality from random tensor networks
journal, November 2016
- Hayden, Patrick; Nezami, Sepehr; Qi, Xiao-Liang
- Journal of High Energy Physics, Vol. 2016, Issue 11
Information in black hole radiation
journal, December 1993
- Page, Don N.
- Physical Review Letters, Vol. 71, Issue 23