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Non-linear Holographic Entanglement Entropy Inequalities for Single Boundary 2D CFT

Brown, Emory and Bao, Ning and Nezami, Sepehr (2015) Non-linear Holographic Entanglement Entropy Inequalities for Single Boundary 2D CFT. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160622-113714676

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Abstract

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic quantum systems do not. We consider a two dimensional conformal field theory that is a single boundary of a holographic system and find four additional non-linear inequalities which are derived from strong subadditivity and the formula for the entanglement entropy of a region on the conformal field theory. We also present an equality obtained by application of a hyperbolic extension of Ptolemy's theorem to a two dimensional conformal field theory.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1508.05441arXivDiscussion Paper
ORCID:
AuthorORCID
Bao, Ning0000-0002-3296-1039
Additional Information:We thank Sepehr Nezami, Hirosi Ooguri, John Preskill, Bogdan Stoica, James Sully, and Michael Walter. The work of Ning Bao is supported by a Dubridge Postdoctoral Fellowship.
Group:Institute for Quantum Information and Matter, IQIM, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
DuBridge Postdoctoral FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20160622-113714676
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160622-113714676
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68586
Collection:CaltechAUTHORS
Deposited By: Jacquelyn O'Sullivan
Deposited On:27 Jun 2016 16:04
Last Modified:09 Nov 2016 21:14

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