https://doi.org/10.1140/epjp/s13360-023-03655-5
Regular Article
Monogamy relationship between quantum and classical correlations for continuous variable in curved spacetime
1
Department of Physics, Liaoning Normal University, 116029, Dalian, China
2
Department of Physics, Hunan Normal University, 410081, Changsha, China
e
huangxiaoli1982@foxmail.com
f
hszeng@hunnu.edu.cn
Received:
25
October
2022
Accepted:
3
January
2023
Published online:
21
January
2023
We study the quantum discord, the classical correlation and the monogamy relationship for continuous variable in the background of a Schwarzschild black hole. We find that, as the Hawking temperature increases, the Gaussian discord by measuring the mode A first reduces and then appears freezing phenomenon, while the Gaussian discord by measuring the mode B reduces to zero. The interesting phenomenon is that the classical correlation based on measurement on mode B is not affected by the Hawking radiation and remains constant, while the classical correlation based on measurement on mode A reduces with increasing Hawking temperature. Furthermore, we find two monogamy relationships between quantum and classical correlations, which means that the lost quantum correlation is transformed into the classical correlation by the Hawking effect. This shows that the quantum correlation is not really lost in Schwarzschild black hole, but just converted from one form to another. This has important implications for understanding the black hole information paradox from the perspective of quantum correlation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
