Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime
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arXiv
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| Format: | Preprint |
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2024
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| author | Wu, Shu-Min Teng, Xiao-Wei Huang, Xiao-Li Lu, Jianbo |
| author_facet | Wu, Shu-Min Teng, Xiao-Wei Huang, Xiao-Li Lu, Jianbo |
| contents | 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 $m$ ($n+m=N$) 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime Wu, Shu-Min Teng, Xiao-Wei Huang, Xiao-Li Lu, Jianbo General Relativity and Quantum Cosmology Quantum Physics 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 $m$ ($n+m=N$) 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. |
| title | Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2403.11476 |