不对称性的普遍冻结
Universal freezing of asymmetry
摘要：
量子态的非对称性在诸如量子精密测量、量子通信和参考系对准的应用中是有用的资源。然而，状态的不对称性在环境引起的噪声由协变运算描述的物理场景中倾向于降级，例如，受超选择规则约束的开放系统，这种退化削弱了状态实现量子信息处理任务的能力。在本文中，我们调查的动力学条件下，一个状态的不对称性是完全不受噪声描述的协变操作。我们发现，所有的不对称性措施被冻结的状态下的协变操作，当且仅当相对熵的不对称性是冻结的状态。我们的发现揭示了不对称性的普遍冻结的存在，并提供了一个充分必要条件，在此条件下，不对称性是完全不受噪声。
英文摘要：
Asymmetry of quantum states is a useful resource in applications such as quantum metrology, quantum communication, and reference frame alignment. However, asymmetry of a state tends to be degraded in physical scenarios where environment-induced noise is described by covariant operations, e.g., open systems constrained by superselection rules, and such degradations weaken the abilities of the state to implement quantum information processing tasks. In this paper, we investigate under which dynamical conditions asymmetry of a state is totally unaffected by the noise described by covariant operations. We find that all asymmetry measures are frozen for a state under a covariant operation if and only if the relative entropy of asymmetry is frozen for the state. Our finding reveals the existence of universal freezing of asymmetry, and provides a necessary and sufficient condition under which asymmetry is totally unaffected by the noise.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
