https://doi.org/10.1140/epjc/s10052-024-12830-6
Regular Article
Maximal steered coherence in the background of Schwarzschild space-time
1
College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, 210023, Nanjing, China
2
School of Science, Nanjing University of Posts and Telecommunications, 210023, Nanjing, China
3
Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, 210003, Nanjing, China
Received:
27
February
2024
Accepted:
17
April
2024
Published online:
2
May
2024
In the past two decades, the exploration of quantumness within Schwarzschild spacetime has garnered significant interest, particularly regarding the Hawking radiation’s impact on quantum correlations and quantum coherence. Building on this foundation, we investigate how Hawking radiation influences maximal steered coherence (MSC)-a crucial measure for gauging the ability to generate coherence through steering. We find that as the Hawking temperature increases, the physically accessible MSC degrade while the unaccessible MSC increase. This observation is attributed to a redistribution of the initial quantum correlations, previously acknowledged by inertial observers, across all bipartite modes. In particular, we find that in limit case that the Hawking temperature tends to infinity, the accessible MSC equals to 
of its initial value, and the unaccessible MSC between mode A and 
also equals to the same value. Our findings illuminate the intricate dynamics of quantum information in the vicinity of black holes, suggesting that Hawking radiation plays a pivotal role in reshaping the landscape of quantum coherence and entanglement in curved spacetime. This study not only advances our theoretical understanding of black hole thermodynamics but also opens new avenues for investigating the interface between quantum mechanics and general relativity.
© The Author(s) 2024
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Funded by SCOAP3.
