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.

References in corpus (10)

• Entanglement of Dirac fields in non-inertial frames
• Measure of genuine multipartite entanglement with computable lower bounds
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Cosmic Bell Test: Measurement Settings from Milky Way Stars
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• Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
• Quantum discord in de Sitter space
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• Schwinger effect of Gaussian correlations in constant electric fields
• Distinguishing de Sitter universe from thermal Minkowski spacetime by Casimir-Polder-like force

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