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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)101 |
| _version_ | 1818840646508609536 |
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| author | Jonathan Harper Matthew Headrick |
| author_facet | Jonathan Harper Matthew Headrick |
| author_sort | Jonathan Harper |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-19T04:13:30Z |
| format | Article |
| id | doaj.art-c8f2f082f20d40cc9e35f4c10c722a9b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T04:13:30Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c8f2f082f20d40cc9e35f4c10c722a9b2022-12-21T20:36:22ZengSpringerOpenJournal 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 |
| spellingShingle | Jonathan Harper Matthew Headrick Bit threads and holographic entanglement of purification Journal of High Energy Physics AdS-CFT Correspondence Differential and Algebraic Geometry |
| title | 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_short | Bit threads and holographic entanglement of purification |
| title_sort | bit threads and holographic entanglement of purification |
| topic | AdS-CFT Correspondence Differential and Algebraic Geometry |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)101 |
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