Maximal steered coherence in the background of Schwarzschild space-time

TL;DR

This paper studies how Hawking radiation affects maximal steered coherence in Schwarzschild spacetime, revealing a redistribution of quantum correlations with increasing Hawking temperature and implications for quantum information near black holes.

Contribution

It introduces the analysis of maximal steered coherence in curved spacetime and demonstrates how Hawking radiation redistributes quantum correlations, impacting quantum coherence measures.

Findings

Accessible MSC decreases with Hawking temperature

Unaccessible MSC increases with Hawking temperature

At infinite temperature, both MSCs equal 1/√2 of initial value

Abstract

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 1/\sqrt{2} of its initial value, and the unaccessible MSC 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.