Genuine tripartite nonlocality and entanglement in curved spacetime

Abstract

We study the genuine tripartite nonlocality (GTN) and the genuine tripartite entanglement (GTE) of Dirac fields in the background of a Schwarzschild black hole. We find that the Hawking radiation degrades both the physically accessible GTN and the physically accessible GTE. The former suffers from "sudden death" at some critical Hawking temperature, and the latter approaches to the nonzero asymptotic value in the limit of infinite Hawking temperature. We also find that the Hawking effect cannot generate the physically inaccessible GTN, but can generate the physically inaccessible GTE for fermion fields in curved spacetime. These results show that on the one hand the GTN cannot pass through the event horizon of black hole, but the GTE do can, and on the other hand the surviving physically accessible GTE and the generated physically inaccessible GTE for fermions in curved spacetime are all not nonlocal. Some monogamy relations between the physically accessible GTE and the physically inaccessible GTE are found.

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Cited by in corpus (7)

• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• Genuine N-partite entanglement and distributed relationships in the background of dilation black holes
• Maximal steered coherence in the background of Schwarzschild space-time
• Basis-independent quantum coherence and its distribution under relativistic motion
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• Shadow thermodynamics of non-linear charged Anti-de Sitter black holes
• Quantum entanglement for continuous variables sharing in an expanding spacetime