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
该研究探究史瓦西黑洞背景下三模高斯态量子互信息的动力学演化，发现其可达互信息呈非单调温度依赖，建立了互信息分布的约束关系，为理解弯曲时空连续变量量子关联提供了帮助。
AI 中文摘要
量子互信息是表征量子系统间关联的基本物理量。本工作研究史瓦西黑洞背景下，基于Rényi-2熵的三模高斯态量子互信息的动力学演化。研究发现，物理上不可达的互信息随霍金温度升高而增加，最终趋于饱和；而物理上可达的互信息则呈现非单调的温度依赖关系：先上升至峰值，随后下降至有限渐近值。这种非单调行为与弯曲时空中高斯纠缠和导引通常呈现的单调衰减不同。此外，本研究建立了若干约束关系，用以描述互信息在各子系统间的分布。这些发现有助于理解史瓦西时空中连续变量量子关联的量子特性。
英文摘要
Quantum mutual information is a fundamental quantity for characterizing correlations among quantum systems. In this work, we investigate the dynamic evolution of the quantum mutual information based on Rényi-2 entropy for three-mode Gaussian states in the background of a Schwarzschild black hole. We find that the physically inaccessible mutual information increases with Hawking temperature and eventually saturates, while the physically accessible mutual information exhibits nonmonotonic temperature dependence: it first rises, reaches a peak, then declines toward a finite asymptotic value. This nonmonotonic behavior differs from the monotonic degradation typically observed for Gaussian entanglement and steering in curved spacetime. Furthermore, we establish several constraint relations governing the distribution of mutual information among subsystems. These findings contribute to understanding the quantumness of quantum correlations for continuous variable in Schwarzschild spacetime.
