Nonlocal advantage of quantum imaginarity in Schwarzchild spacetime

TL;DR

This paper explores how Hawking radiation influences quantum imaginarity in Schwarzschild spacetime, revealing region-dependent effects on nonlocal advantage and distillation capabilities.

Contribution

It introduces the impact of Hawking radiation on quantum imaginarity, highlighting differences between accessible and inaccessible regions in curved spacetime.

Findings

NAQI is suppressed in accessible regions with increasing Hawking temperature.

Assisted fidelity decreases in accessible regions but increases in inaccessible regions with temperature.

Hawking effect causes distinct operational behaviors of quantum imaginarity in different spacetime regions.

Abstract

Black hole spacetimes provide a natural setting for quantum systems in curved spacetime, where effects such as Hawking radiation arise from event horizons. In this work, we investigate the impact of the Hawking effect on quantum imaginarity in Schwarzschild spacetime, focusing on nonlocal advantage of quantum imaginarity (NAQI) and assisted imaginarity distillation. For NAQI, it is significantly affected by Hawking radiation, exhibiting a pronounced difference between physically accessible and inaccessible regions. It is suppressed in the physically accessible region with increasing Hawking temperature and may vanish, while remaining absent in the physically inaccessible region across the parameter regime. For assisted imaginarity distillation, the Hawking effect modifies the assisted fidelity in a state-dependent manner. In the physically accessible region, the fidelity generally decreases with increasing temperature, indicating reduced distillation capability, whereas the physically inaccessible region exhibits the opposite monotonic trend, indicating enhanced distillation capability. These results highlight distinct operational behaviors of physically accessible and inaccessible regions under relativistic effects, providing insight into quantum imaginarity in curved spacetime.