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Holographic entropy inequalities and gapped phases of matter

Bao, Ning and Cao, ChunJun and Walter, Michael and Wang, Zitao (2015) Holographic entropy inequalities and gapped phases of matter. Journal of High Energy Physics, 2015 (9). Art. No. 203. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20150812-144213214

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Abstract

We extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area law. In particular, we find that all holographic entropy inequalities are valid in such systems. In gapped systems with topological order, the “cyclic inequalities” derived recently for the holo-graphic entanglement entropy generalize the Kitaev-Preskill formula for the topological entanglement entropy. Finally, we propose a candidate linear inequality for general 4-party quantum states.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/JHEP09(2015)203DOIArticle
http://link.springer.com/article/10.1007%2FJHEP09%282015%29203PublisherArticle
http://arxiv.org/abs/1507.05650arXivDiscussion Paper
ORCID:
AuthorORCID
Bao, Ning0000-0002-3296-1039
Additional Information:© 2015 The Authors. Article funded by SCOAP3. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: July 29, 2015. Accepted: September 7, 2015. Published: September 29, 2015. We thank Sepehr Nezami and Bogdan Stoica for helpful discussions. This research is supported in part by the Institute for Quantum Information and Matter at Caltech, by the Walter Burke Institute for Theoretical Physics at Caltech, by DOE grant DE-SC0011632, by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, by the Simons Foundation, and by FQXI. N.B. is supported by the DuBridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter, IQIM, Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Gordon and Betty Moore Foundation776
Simons FoundationUNSPECIFIED
Foundational Questions Institute (FQXI)UNSPECIFIED
DuBridge Postdoctoral FellowshipUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Topological States of Matter
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2015-041
Issue or Number:9
Record Number:CaltechAUTHORS:20150812-144213214
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150812-144213214
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59459
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:12 Aug 2015 22:28
Last Modified:03 Oct 2019 08:47

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