Bit threads and holographic entanglement of purification

Abstract Generalizing the bit thread formalism, we use convex duality to derive dual flow programs to the bipartite and multipartite holographic entanglement of purification proposals and then prove several inequalities using these constructions. In the multipartite case we find the flows exhibit no...

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Main Authors:	Jonathan Harper, Matthew Headrick
Format:	Article
Language:	English
Published:	SpringerOpen 2019-08-01
Series:	Journal of High Energy Physics
Subjects:	AdS-CFT Correspondence Differential and Algebraic Geometry
Online Access:	http://link.springer.com/article/10.1007/JHEP08(2019)101

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spelling	doaj-c8f2f082f20d40cc9e35f4c10c722a9b2020-11-25T02:58:47ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019814110.1007/JHEP08(2019)101Bit threads and holographic entanglement of purificationJonathan Harper0Matthew Headrick1Martin Fisher School of Physics, Brandeis UniversityMartin Fisher School of Physics, Brandeis UniversityAbstract Generalizing the bit thread formalism, we use convex duality to derive dual flow programs to the bipartite and multipartite holographic entanglement of purification proposals and then prove several inequalities using these constructions. In the multipartite case we find the flows exhibit novel behavior which allows for a constrained flux on the boundary of the homology region. We show this flux can be made distinct from bi-partite terms and reflects the truly multipartite portion of the holographic entanglement of purification.http://link.springer.com/article/10.1007/JHEP08(2019)101AdS-CFT CorrespondenceDifferential and Algebraic Geometry
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jonathan Harper Matthew Headrick
spellingShingle	Jonathan Harper Matthew Headrick Bit threads and holographic entanglement of purification Journal of High Energy Physics AdS-CFT Correspondence Differential and Algebraic Geometry
author_facet	Jonathan Harper Matthew Headrick
author_sort	Jonathan Harper
title	Bit threads and holographic entanglement of purification
title_short	Bit threads and holographic entanglement of purification
title_full	Bit threads and holographic entanglement of purification
title_fullStr	Bit threads and holographic entanglement of purification
title_full_unstemmed	Bit threads and holographic entanglement of purification
title_sort	bit threads and holographic entanglement of purification
publisher	SpringerOpen
series	Journal of High Energy Physics
issn	1029-8479
publishDate	2019-08-01
description	Abstract Generalizing the bit thread formalism, we use convex duality to derive dual flow programs to the bipartite and multipartite holographic entanglement of purification proposals and then prove several inequalities using these constructions. In the multipartite case we find the flows exhibit novel behavior which allows for a constrained flux on the boundary of the homology region. We show this flux can be made distinct from bi-partite terms and reflects the truly multipartite portion of the holographic entanglement of purification.
topic	AdS-CFT Correspondence Differential and Algebraic Geometry
url	http://link.springer.com/article/10.1007/JHEP08(2019)101
work_keys_str_mv	AT jonathanharper bitthreadsandholographicentanglementofpurification AT matthewheadrick bitthreadsandholographicentanglementofpurification
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Bit threads and holographic entanglement of purification

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