论文标题

量子回顾使完全对称

Quantum retrodiction made fully symmetric

论文作者

Fields, Dov, Sajia, Abdelali, Bergou, János A.

论文摘要

量子回顾是一种在许多重要问题中应用的量子力学的时间对称方法。其更广泛适用性的主要挑战之一是将其对称形式主义限制在公正的来源中。本文的主要结果是开发一种一般理论,为任意来源产生对称形式主义。然后,我们在一个特定示例中突出显示了对反复歧视的回顾问题的最佳解决方案,即广义方法的工作原理。我们还展示了这种形式主义如何导致爱丽丝和鲍勃之间通信通道的对称表述,并指出了回顾与无信号原则之间的内在联系。

Quantum retrodiction is a time-symmetric approach to quantum mechanics with applications in a number of important problems. One of the major challenges to its more widespread applicability is the restriction of its symmetric formalism to unbiased sources. The main result of this paper is to develop a general theory yielding a symmetric formalism for arbitrary sources. We then highlight on a specific example, by presenting the optimal solution to the retrodiction problem that is dual to unambiguous state discrimination, how the generalized approach works. We also show how this formalism leads to a symmetric formulation of the communication channel between Alice and Bob and point to the intrinsic connection between retrodiction and the no-signaling principle.

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