Can Hawking effect of multipartite state protect quantum resources in Schwarzschild black hole?

Fuente: arXiv
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Main Authors: Wu, Shu-Min, Teng, Xiao-Wei, Yang, Hui-Chen, Xu, Rui-Yang, Barros, P. H. M., Costa, H. A. S.
Format: Preprint
Published: 2025
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author Wu, Shu-Min
Teng, Xiao-Wei
Yang, Hui-Chen
Xu, Rui-Yang
Barros, P. H. M.
Costa, H. A. S.
author_facet Wu, Shu-Min
Teng, Xiao-Wei
Yang, Hui-Chen
Xu, Rui-Yang
Barros, P. H. M.
Costa, H. A. S.
contents Most previous studies on relativistic quantum information have primarily focused on the vacuum state $|0\rangle$ and the first excited state $|1\rangle$ in two-mode entangled systems. In this work, we go beyond these limitations by considering arbitrary $q$-th excited states $|q\rangle$, aiming to investigate their role in preserving quantum resources. We analyze the influence of the Hawking effect on multipartite quantum states in the Schwarzschild spacetime, with particular attention to quantum entanglement and coherence. Our results show that, under the influence of the Hawking effect, increasing the excitation number $q$ leads to a reduction in quantum entanglement and mutual information, while enhancing quantum coherence. This indicates that the Hawking effect on excited multipartite states tends to degrade quantum correlations but simultaneously protects quantum coherence in curved spacetime. Therefore, when implementing quantum information protocols in gravitational settings, reducing the excitation number $q$ is favorable for maintaining entanglement, whereas increasing $q$ may be advantageous for tasks that rely on quantum coherence in relativistic quantum information processing.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15002
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Can Hawking effect of multipartite state protect quantum resources in Schwarzschild black hole?
Wu, Shu-Min
Teng, Xiao-Wei
Yang, Hui-Chen
Xu, Rui-Yang
Barros, P. H. M.
Costa, H. A. S.
General Relativity and Quantum Cosmology
Quantum Physics
Most previous studies on relativistic quantum information have primarily focused on the vacuum state $|0\rangle$ and the first excited state $|1\rangle$ in two-mode entangled systems. In this work, we go beyond these limitations by considering arbitrary $q$-th excited states $|q\rangle$, aiming to investigate their role in preserving quantum resources. We analyze the influence of the Hawking effect on multipartite quantum states in the Schwarzschild spacetime, with particular attention to quantum entanglement and coherence. Our results show that, under the influence of the Hawking effect, increasing the excitation number $q$ leads to a reduction in quantum entanglement and mutual information, while enhancing quantum coherence. This indicates that the Hawking effect on excited multipartite states tends to degrade quantum correlations but simultaneously protects quantum coherence in curved spacetime. Therefore, when implementing quantum information protocols in gravitational settings, reducing the excitation number $q$ is favorable for maintaining entanglement, whereas increasing $q$ may be advantageous for tasks that rely on quantum coherence in relativistic quantum information processing.
title Can Hawking effect of multipartite state protect quantum resources in Schwarzschild black hole?
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2509.15002