https://doi.org/10.1140/epjc/s10052-025-13765-2
Regular Article - Theoretical Physics
Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
1
Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 410081, Changsha, Hunan, People’s Republic of China
2
College of Information Science and Engineering, Hunan Normal University, 410081, Changsha, Hunan, People’s Republic of China
Received:
23
October
2024
Accepted:
28
December
2024
Published online:
23
January
2025
We investigate the hierarchy of nonlocal correlations for Dirac fields in the Schwarzschild de Sitter (SdS) spacetime. We find that the hierarchical relationship between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality remains in the multi-event horizon curved spacetime. It is demonstrated that the NAQC and Bell nonlocality provide a more rigorous characterization of physically inaccessible quantum properties than coherence, as classical information cannot be transmitted across the thermally opaque membrane. Furthermore, when considering an effective equilibrium temperature, an enhancement in quantum nonlocality with increasing temperature is observed, which challenges the conventional understanding that the Hawking effect solely diminishes quantum nonlocality. This study contributes to integrating quantum resource theory within the context of multi-event horizon black holes.
© The Author(s) 2025
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