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Title: 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 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.

Authors:
ORCiD logo [1];  [1]
  1. Brandeis Univ., Waltham, MA (United States)
Publication Date:
Research Org.:
Brandeis Univ., Waltham, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1595095
Report Number(s):
arXiv:1906.05970v3
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
SC0009987; 1068620
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: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Differential and Algebraic Geometry

Citation Formats

Harper, Jonathan, and Headrick, Matthew. Bit threads and holographic entanglement of purification. United States: N. p., 2019. Web. doi:10.1007/JHEP08(2019)101.
Harper, Jonathan, & Headrick, Matthew. Bit threads and holographic entanglement of purification. United States. doi:10.1007/JHEP08(2019)101.
Harper, Jonathan, and Headrick, Matthew. Tue . "Bit threads and holographic entanglement of purification". United States. doi:10.1007/JHEP08(2019)101. https://www.osti.gov/servlets/purl/1595095.
@article{osti_1595095,
title = {Bit threads and holographic entanglement of purification},
author = {Harper, Jonathan and Headrick, Matthew},
abstractNote = {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.},
doi = {10.1007/JHEP08(2019)101},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}

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Cited by: 3 works
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Works referenced in this record:

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