Hyperthreads in holographic spacetimes
Abstract We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a “k-thread” to be a hyperthread which connects k different boundary regions and posit that it may be considered as a unit of k-party entanglement. Using this new object, we show that the contribut...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2021)118 |
| _version_ | 1819135813093425152 |
|---|---|
| author | Jonathan Harper |
| author_facet | Jonathan Harper |
| author_sort | Jonathan Harper |
| collection | DOAJ |
| description | Abstract We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a “k-thread” to be a hyperthread which connects k different boundary regions and posit that it may be considered as a unit of k-party entanglement. Using this new object, we show that the contribution of hyperthreads to calculations of holographic entanglement entropy are generically finite. This is accomplished by constructing a surface whose area determines their maximum allowed contribution. We also identify surfaces whose area is proportional to the maximum number of k-threads, motivating a possible measure of multipartite entanglement. We use this to make connections to the current understanding of multipartite entanglement in holographic spacetimes. |
| first_indexed | 2024-12-22T10:25:02Z |
| format | Article |
| id | doaj.art-a753262046404b049d00408a61442e0a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T10:25:02Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a753262046404b049d00408a61442e0a2022-12-21T18:29:31ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021912610.1007/JHEP09(2021)118Hyperthreads in holographic spacetimesJonathan Harper0Martin Fisher School of Physics, Brandeis UniversityAbstract We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a “k-thread” to be a hyperthread which connects k different boundary regions and posit that it may be considered as a unit of k-party entanglement. Using this new object, we show that the contribution of hyperthreads to calculations of holographic entanglement entropy are generically finite. This is accomplished by constructing a surface whose area determines their maximum allowed contribution. We also identify surfaces whose area is proportional to the maximum number of k-threads, motivating a possible measure of multipartite entanglement. We use this to make connections to the current understanding of multipartite entanglement in holographic spacetimes.https://doi.org/10.1007/JHEP09(2021)118AdS-CFT CorrespondenceClassical Theories of Gravity |
| spellingShingle | Jonathan Harper Hyperthreads in holographic spacetimes Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
| title | Hyperthreads in holographic spacetimes |
| title_full | Hyperthreads in holographic spacetimes |
| title_fullStr | Hyperthreads in holographic spacetimes |
| title_full_unstemmed | Hyperthreads in holographic spacetimes |
| title_short | Hyperthreads in holographic spacetimes |
| title_sort | hyperthreads in holographic spacetimes |
| topic | AdS-CFT Correspondence Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP09(2021)118 |
| work_keys_str_mv | AT jonathanharper hyperthreadsinholographicspacetimes |