发表机构
School of Mathematics and Statistics, Hainan Normal University（海南师范大学数学与统计学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究探究史瓦西时空中三体量子混合态的量子虚部演化，发现霍金辐射会降低量子虚部，其早期变化急剧后渐趋稳定，还推导了虚部在伦德勒视界的非局域再分配权衡关系，助力理解黑洞时空量子资源行为。
AI 中文摘要
量子虚部是量子信息处理所必需的基本量子资源。本文研究了史瓦西时空中三体量子混合态的量子虚部动力学演化行为。我们发现霍金辐射会降低量子虚部资源，这与霍金效应下纠缠和相干性的表现一致。有趣的是，虚部在霍金辐射早期会发生急剧变化，之后缓慢变化并渐近趋近于一个稳态值。我们进一步推导了若干权衡关系，用于描述虚部在伦德勒视界上的非局域再分配。本研究的发现有助于更深入地理解黑洞时空中的量子资源行为。
英文摘要
Quantum imaginarity is a fundamental quantum resource essential for quantum information processing. In this paper, we investigate the dynamical evolution behavior of quantum imaginarity for tripartite quantum mixed states in Schwarzschild spacetime. We find that Hawking radiation degrades the quantum resource of imaginarity, consistent with the behavior of entanglement and coherence under the Hawking effect. Interestingly, imaginarity exhibits a sharp change in the early stage of Hawking radiation, after which it varies slowly and asymptotically approaches a steady value. We further derive several trade-off relations that characterize the nonlocal redistribution of imaginarity across Rindler horizons. The findings of this study contribute to a deeper understanding of quantum resource behaviors in black hole spacetimes.
