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Title: 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:
ORCiD logo [1];  [2];  [1]
  1. Univ. of California, Davis, CA (United States)
  2. 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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