Genuine four-partite Bell nonlocality in the curved spacetime

Fuente: arXiv
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Main Authors: Mi, Guang-Wei, Huang, Xiaofen, Fei, Shao-Ming, Zhang, Tinggui
Format: Preprint
Published: 2025
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author Mi, Guang-Wei
Huang, Xiaofen
Fei, Shao-Ming
Zhang, Tinggui
author_facet Mi, Guang-Wei
Huang, Xiaofen
Fei, Shao-Ming
Zhang, Tinggui
contents The quantum Bell nonlocality plays a crucial role in quantum information processing. In this paper, we first obtain the quantitative analytical expression of the genuine four-partite Bell nonlocality of any 4-qubit quantum state. Then, we investigate and derive the genuine four-partite nonlocalities in the background of the Schwarzschild black hole and the Schwarzschild-de Sitter spacetime. In the Schwarzschild black hole, it is shown that the Hawking effect destroys the accessible genuine four-partite nonlocality while simultaneously having both detrimental and beneficial impacts on the inaccessible genuine four-partite nonlocality. Besides, we observe that the Hawking effect can generate the physically inaccessible genuine four-partite nonlocality for fermion fields in Schwarzschild black hole. This result shows that the genuine four-partite nonlocality can pass through the event horizon of black hole. Moreover, we also investigate the influence of the Hawking effect of the Schwarzschild-de Sitter spacetime on the genuine four-partite nonlocality of massless Dirac fields.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23302
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Genuine four-partite Bell nonlocality in the curved spacetime
Mi, Guang-Wei
Huang, Xiaofen
Fei, Shao-Ming
Zhang, Tinggui
Quantum Physics
General Relativity and Quantum Cosmology
The quantum Bell nonlocality plays a crucial role in quantum information processing. In this paper, we first obtain the quantitative analytical expression of the genuine four-partite Bell nonlocality of any 4-qubit quantum state. Then, we investigate and derive the genuine four-partite nonlocalities in the background of the Schwarzschild black hole and the Schwarzschild-de Sitter spacetime. In the Schwarzschild black hole, it is shown that the Hawking effect destroys the accessible genuine four-partite nonlocality while simultaneously having both detrimental and beneficial impacts on the inaccessible genuine four-partite nonlocality. Besides, we observe that the Hawking effect can generate the physically inaccessible genuine four-partite nonlocality for fermion fields in Schwarzschild black hole. This result shows that the genuine four-partite nonlocality can pass through the event horizon of black hole. Moreover, we also investigate the influence of the Hawking effect of the Schwarzschild-de Sitter spacetime on the genuine four-partite nonlocality of massless Dirac fields.
title Genuine four-partite Bell nonlocality in the curved spacetime
topic Quantum Physics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.23302