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.

Would quantum coherence be increased by curvature effect in de Sitter space?

“…This means that the Unruh effect and the curvature effect of de Sitter space play similar roles to quantum correlation (destroy quantum correlation), but play different roles to quantum coherence (Unruh effect destroys, while the curvature effect of de Sitter space improves quantum coherence). Also note that the behaviors of quantum re-sources (entanglement, discord and coherence) in the background of black holes are similar to that in Rindler spacetime [39][40][41][42][43][44][45][46].…”

“…(ii) quantum entanglement, discord, and coherence suffer from a degradation due to the Hawking radiation in the background of black holes [39][40][41][42][43][44][45][46]; (iii) quantum entanglement and discord decrease monotonically with the growth of the curvature in de Sitter space [47][48][49]. From these researches, we find that quantum coherence in both Rindler and black hole spacetimes decreases monotonically.…”

Probing Genuine Multipartite Einstein–Podolsky–Rosen Steering and Entanglement Under an Open Tripartite System

“…EPR steering and entanglement are two fundamental characteristics of quantum mechanics and that are inextricably linked. For the moment, the researchers believe that EPR steering stems from entanglement, but entanglement does not imply EPR steering [1,2]. EPR entanglement characterizes quantum nonlocal correlations among remote parties that are totally forbidden within the classical regime.…”

Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects

“…The two phenomena are closely related and the study of Unruh effect is helpful to understand the Hawking radiation, and to study the thermodynamics and the problem of information loss [10][11][12]. The Unruh effect and Hawking radiation have been extended to different fields, such as free scalar field, free Dirac field and so on [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. In general, quantum steering, quantum entanglement and quantum discord between quantum fields decrease with the increase of observer acceleration, which means that Unruh effect is harmful to quantum resources based on quantum fields.…”