Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime - INSPIRE

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Genuine N-partite entanglement in Schwarzschild-de Sitter black hole spacetime

Shu-Min Wu
(
- Liaoning Normal U.
)
,
Xiao-Wei Teng
(
- Liaoning Normal U.
)
,
Xiao-Li Huang
(
- Liaoning Normal U.
)
,
Jianbo Lu
(
- Liaoning Normal U.
)

Mar 18, 2024

18 pages

Published in:

Eur.Phys.J.C 84 (2024) 11, 1228,
Eur.Phys.J.C 84 (2024) 1228

Published: Nov 27, 2024

e-Print:

2403.11476 [gr-qc]

DOI:

10.1140/epjc/s10052-024-13602-y

View in:

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Abstract: (Springer)

Complex quantum information tasks in a gravitational background require multipartite entanglement for effective processing. Therefore, it is necessary to investigate the properties of multipartite entanglement in a relativistic setting. In this paper, we study genuine N-partite entanglement of massless Dirac fields in the Schwarzschild-de Sitter (SdS) spacetime, characterized by the presence of a black hole event horizon (BEH) and a cosmological event horizon (CEH). We obtain the general analytical expression of genuine N-partite entanglement shared by n observers near BEH and m (

n+m=N

) observers near CEH. It is shown that genuine N-partite entanglement monotonically decreases with the decrease of the mass of the black hole, suggesting that the Hawking effect of the black hole destroys quantum entanglement. It is interesting to note that genuine N-partite entanglement is a non-monotonic function of the cosmological constant, meaning that the Hawking effect of the expanding universe can enhance quantum entanglement. This result contrasts with multipartite entanglement in single-event horizon spacetime, offering a new perspective on the Hawking effect in multi-event horizon spacetime.

Note:

18 pages, 4 figures

effect: Hawking
entanglement: quantum
space-time: horizon
field theory: Dirac
black hole: Schwarzschild
space-time: complex
space-time: expansion
black hole: mass
gravitation: background
space-time: black hole

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