Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime

TL;DR

This paper investigates how Gaussian quantum coherence behaves in a dilaton black hole spacetime, revealing its resilience and generation mechanisms despite strong gravitational effects, which is promising for quantum information tasks.

Contribution

It demonstrates the persistence and generation of quantum coherence in curved spacetime, highlighting differences from quantum steering and potential for quantum information processing.

Findings

Quantum coherence is unaffected by scalar field frequency in certain black hole conditions.

Initial coherence is not fully destroyed even in extreme dilaton black holes.

Quantum coherence can be generated more easily at low scalar field frequencies.

Abstract

We study the dynamics of Gaussian quantum coherence under the background of a Garfinkle-Horowitz-Strominger dilaton black hole. It is shown that the dilaton field has evident effects on the degree of coherence for all the bipartite subsystems. The bipartite Gaussian coherence is not affected by the frequency of the scalar field for an uncharged or an extreme dilaton black hole. It is found that the initial coherence is not completely destroyed even for an extreme dilaton black hole, which is quite different from the behavior of quantum steering because the latter suffers from a "sudden death" under the same conditions. This is nontrivial because one can employ quantum coherence as a resource for quantum information processing tasks even if quantum correlations have been destroyed by the strong gravitational field. In addition, it is demonstrated that the generation of quantum coherence between the initial separable modes is easier for low-frequency scalar fields. At the same time, quantum coherence is smoothly generated betweenone pair of partners and exhibits a "sudden birth" behavior between another pairs in the curved spacetime.