Nonlocal advantage of quantum coherence under Garfinkle-Horowitz-Strominger dilation space-time

Abstract

Nonlocal advantage of quantum coherence (NA-QC) is a relatively robust non-classical correlation and can be achieved by coherence complementary relations. In this work, we investigate NA-QC based on various coherence measures within the theoretical framework of a Garfinkle-Horowitz-Strominger dilation black hole. Interestingly, NA-QC exhibits monotonically decreasing evolutionary features with the growing dilation parameter in the physically accessible regions. Furthermore, the hierarchical relationship among NA-QC, quantum steerability and Bell-nonlocality is analyzed under the influence of Hawking radiation. It is shown that NA-QC is a subset of Bell-nonlocality and quantum steering is a superset of Bell-nonlocality. Additionally, to achieve more quantum resources, we propose a feasible physical scheme to control NA-QC by using optimal parity-time ( PT )-symmetric operations. The amount of NA-QC can be effectively enhanced in the certain time interval for the physical accessible state in the context of black hole. These results might play important roles for understanding quantum information theory under the curved space-time.