Genuine four-partite Bell nonlocality in the curved spacetime

Abstract

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.

13 pages, 6 figures

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• Hawking effect can generate physically inaccessible genuine tripartite nonlocality
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• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Non-monotonic evolution of multipartite entanglement under the Unruh effect
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background