Holographic entanglement distillation from the surface state correspondence
Abstract We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)091 |
| _version_ | 1797350201693831168 |
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| author | Ning Bao Gün Süer |
| author_facet | Ning Bao Gün Süer |
| author_sort | Ning Bao |
| collection | DOAJ |
| description | Abstract We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors. This enables us to count the shared Bell pairs between subfactors, and we propose an entanglement distillation procedure over these subsystems via a SWAP gate protocol. We comment on extending to multipartite entanglement. |
| first_indexed | 2024-03-08T12:41:17Z |
| format | Article |
| id | doaj.art-5f470c80b9b4466d9e47f02cc309a46d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T12:41:17Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5f470c80b9b4466d9e47f02cc309a46d2024-01-21T12:07:46ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024111010.1007/JHEP01(2024)091Holographic entanglement distillation from the surface state correspondenceNing Bao0Gün Süer1Department of Physics, Northeastern UniversityDepartment of Physics, Northeastern UniversityAbstract We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors. This enables us to count the shared Bell pairs between subfactors, and we propose an entanglement distillation procedure over these subsystems via a SWAP gate protocol. We comment on extending to multipartite entanglement.https://doi.org/10.1007/JHEP01(2024)091AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Ning Bao Gün Süer Holographic entanglement distillation from the surface state correspondence Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Holographic entanglement distillation from the surface state correspondence |
| title_full | Holographic entanglement distillation from the surface state correspondence |
| title_fullStr | Holographic entanglement distillation from the surface state correspondence |
| title_full_unstemmed | Holographic entanglement distillation from the surface state correspondence |
| title_short | Holographic entanglement distillation from the surface state correspondence |
| title_sort | holographic entanglement distillation from the surface state correspondence |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP01(2024)091 |
| work_keys_str_mv | AT ningbao holographicentanglementdistillationfromthesurfacestatecorrespondence AT gunsuer holographicentanglementdistillationfromthesurfacestatecorrespondence |