Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime
Abstract Complex quantum information tasks in a gravitational background require multipartite entanglement for effective processing. Therefore, it is necessary to investigate the properties of multipartite entanglement in a relativistic setting. In this paper, we study genuine N-partite entanglement...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13602-y |
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| author | Shu-Min Wu Xiao-Wei Teng Xiao-Li Huang Jianbo Lu |
| author_facet | Shu-Min Wu Xiao-Wei Teng Xiao-Li Huang Jianbo Lu |
| author_sort | Shu-Min Wu |
| collection | DOAJ |
| description | Abstract Complex quantum information tasks in a gravitational background require multipartite entanglement for effective processing. Therefore, it is necessary to investigate the properties of multipartite entanglement in a relativistic setting. In this paper, we study genuine N-partite entanglement of massless Dirac fields in the Schwarzschild-de Sitter (SdS) spacetime, characterized by the presence of a black hole event horizon (BEH) and a cosmological event horizon (CEH). We obtain the general analytical expression of genuine N-partite entanglement shared by n observers near BEH and m ( $$n+m=N$$ n + m = N ) observers near CEH. It is shown that genuine N-partite entanglement monotonically decreases with the decrease of the mass of the black hole, suggesting that the Hawking effect of the black hole destroys quantum entanglement. It is interesting to note that genuine N-partite entanglement is a non-monotonic function of the cosmological constant, meaning that the Hawking effect of the expanding universe can enhance quantum entanglement. This result contrasts with multipartite entanglement in single-event horizon spacetime, offering a new perspective on the Hawking effect in multi-event horizon spacetime. |
| format | Article |
| id | doaj-art-e9f944b66ef5409ab9c6e5dfce45f651 |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e9f944b66ef5409ab9c6e5dfce45f6512025-08-20T02:39:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841111010.1140/epjc/s10052-024-13602-yGenuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetimeShu-Min Wu0Xiao-Wei Teng1Xiao-Li Huang2Jianbo Lu3Department of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityAbstract Complex quantum information tasks in a gravitational background require multipartite entanglement for effective processing. Therefore, it is necessary to investigate the properties of multipartite entanglement in a relativistic setting. In this paper, we study genuine N-partite entanglement of massless Dirac fields in the Schwarzschild-de Sitter (SdS) spacetime, characterized by the presence of a black hole event horizon (BEH) and a cosmological event horizon (CEH). We obtain the general analytical expression of genuine N-partite entanglement shared by n observers near BEH and m ( $$n+m=N$$ n + m = N ) observers near CEH. It is shown that genuine N-partite entanglement monotonically decreases with the decrease of the mass of the black hole, suggesting that the Hawking effect of the black hole destroys quantum entanglement. It is interesting to note that genuine N-partite entanglement is a non-monotonic function of the cosmological constant, meaning that the Hawking effect of the expanding universe can enhance quantum entanglement. This result contrasts with multipartite entanglement in single-event horizon spacetime, offering a new perspective on the Hawking effect in multi-event horizon spacetime.https://doi.org/10.1140/epjc/s10052-024-13602-y |
| spellingShingle | Shu-Min Wu Xiao-Wei Teng Xiao-Li Huang Jianbo Lu Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime European Physical Journal C: Particles and Fields |
| title | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| title_full | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| title_fullStr | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| title_full_unstemmed | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| title_short | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| title_sort | genuine n partite entanglement in schwarzschild de sitter black hole spacetime |
| url | https://doi.org/10.1140/epjc/s10052-024-13602-y |
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