标题： 不同类型的类贝尔态在引力背景下的量子牵引 显示英文标题

标题： Quantum steering for different types of Bell-like states in gravitational background

摘要： 在相对论框架下，通常认为最大纠缠态的量子操控在实际应用中相比非最大纠缠态具有更大的优势。 在本文中，我们研究了施瓦茨希尔德黑洞事件视界附近四种不同类型的类贝尔态的量子操控。 在某些参数空间中，操控不对称性的峰值对应于在霍金效应影响下，类贝尔态从双向操控到单向操控的转变。 有趣的是，发现最大纠缠态的费米子操控会随着霍金温度出现突然死亡，而非最大纠缠态的费米子操控在无限霍金温度下则保持无限持续。 与之前的研究相反，这一发现表明，在引力背景中处理量子任务时，非最大纠缠态的量子操控比最大纠缠态更具优势。 这一令人惊讶的结果颠覆了传统的“相对论框架中最大纠缠操控的优势”观念，并为理解黑洞的霍金效应提供了新的视角。 显示英文摘要

摘要： In a relativistic framework, it is generally accepted that quantum steering of maximally entangled states provide greater advantages in practical applications compared to non-maximally entangled states. In this paper, we investigate quantum steering for four different types of Bell-like states of fermionic modes near the event horizon of a Schwarzschild black hole. In some parameter spaces, the peak of steering asymmetry corresponds to a transition from two-way to one-way steerability for Bell-like states under the influence of the Hawking effect. It is intriguing to find that the fermionic steerability of the maximally entangled states experiences sudden death with the Hawking temperature, while the fermionic steerability of the non-maximally entangled states maintains indefinite persistence at infinite Hawking temperature. In contrast to prior research, this finding suggests that quantum steering of non-maximally entangled states is more advantageous than that of maximally entangled states for processing quantum tasks in the gravitational background. This surprising result overturns the traditional idea of ``the advantage of maximally entangled steering in the relativistic framework" and provides a new perspective for understanding the Hawking effect of the black hole.