量子虚数的非局域优势在Schwarzschild时空中的表现
Nonlocal advantage of quantum imaginarity in Schwarzchild spacetime
AI总结：
研究探讨了霍金辐射对Schwarzschild时空量子虚数的影响，分析了量子虚数非局域优势及辅助虚数提纯在可及与不可及区域内的不同行为。
摘要：
黑洞时空为弯曲时空中的量子系统提供了自然的环境，其中如霍金辐射等效应源于事件视界。在本工作中，我们研究了霍金效应对Schwarzschild时空中的量子虚数的影响，重点探讨了量子虚数的非局域优势（NAQI）和辅助虚数提纯。对于NAQI，它显著受到霍金辐射的影响，在可及与不可及区域内表现出明显的差异。在可及区域，随着霍金温度的增加，其被抑制，并可能消失，而在不可及区域，跨参数范围保持不存在。对于辅助虚数提纯，霍金效应以依赖于状态的方式修改辅助保真度。在可及区域，保真度通常随温度增加而降低，表明提纯能力减弱，而在不可及区域则表现出相反的单调趋势，表明提纯能力增强。这些结果突显了在相对论效应下可及与不可及区域的不同操作行为，为弯曲时空中的量子虚数提供了见解。
英文摘要：
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.
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