标题： 施瓦茨希尔德黑洞中的高斯三重态量子态操控 显示英文标题

标题： Gaussian tripartite steering in Schwarzschild black hole

摘要： 多体引导是一种基本的量子资源，特别适合解决复杂的相对论量子信息挑战，但在引力场背景下的特性仍有待阐明。我们研究了在施瓦茨希尔德黑洞背景下的高斯三体引导分布。我们的结果表明，物理上可访问的$2\rightarrow 1$引导性在任何霍金温度下都保持稳定，这与$1\rightarrow 1$引导性随着霍金温度升高而出现“突然死亡”的行为形成对比，使得$2\rightarrow 1$引导性成为相对论量子信息任务中更可靠的候选方案。值得注意的是，我们观察到量子引导的突然死亡伴随着引导不对称性的峰值，这标志着相对论三模系统中从双向引导到单向引导的关键转变。我们发现，霍金效应可以在双向中生成不可访问的双向引导，如[Phys. Rev. D 93, 125011 (2016)]所示，而在三体系统中只能生成物理上不可访问的单向$2\rightarrow 1$引导。这些见解增强了我们对黑洞事件视界附近多体引导再分配的理解。 显示英文摘要

摘要： Multipartite steering is a fundamental quantum resource that is uniquely suited to tackling complex relativistic quantum information challenges, but its properties in the gravitational field context remain to be elucidated. We study the distribution of Gaussian tripartite steering in the background of a Schwarzschild black hole. Our results show that physically accessible $2\rightarrow 1$ steerability remains robust at any Hawking temperature, which contrasts with the behavior of $1\rightarrow 1$ steering that experiences ``sudden death" as the Hawking temperature increases, making $2\rightarrow 1$ steerability a more reliable candidate for relativistic quantum information tasks. Notably, we observe that the sudden death of quantum steering is accompanied by a peak in steering asymmetry, signifying a critical transition from two-way steering to one-way steering in the relativistic three-mode system. We find that the Hawking effect can generate inaccessible two-way steering of a bipartite system in both directions, as shown in [Phys. Rev. D 93, 125011 (2016)], while it can only generate physically inaccessible one-way $2\rightarrow 1$ steering in tripartite systems. These insights enhance our understanding of the redistribution of multipartite steering near the event horizon of the black hole.