Bit threads and holographic entanglement of purification

Harper, Jonathan; Headrick, Matthew

doi:10.1007/JHEP08(2019)101

Title: Bit threads and holographic entanglement of purification

Journal Article · Tue Aug 20 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2019)101· OSTI ID:1595095

^[1]; Headrick, Matthew ^[1]

Brandeis Univ., Waltham, MA (United States)

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.

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Research Organization:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0009987; 1068620

OSTI ID:: 1595095

Report Number(s):: arXiv:1906.05970v3; TRN: US2101747

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 46 works

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References (27)

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