论文标题

基于熵界的波粒二元关系

Wave-particle duality relations based on entropic bounds for which-way information

论文作者

Bagan, Emilio, Bergou, Janos A., Hillery, Mark

论文摘要

我们提出了涉及相对熵一致性度量的波粒二元关系,该度量在相干的资源理论中起着重要的作用。这些关系中的主要输入是我们在本信中得出的哪个信息的熵约束。我们表明,后者至关重要的是取决于获得路径信息的测量策略的选择。特别是,我们提出了两种策略的结果:路径检测器状态的零错误识别,该状态从未产生错误,但有时未能返回结论性答案,以及允许错误和失败的混合策略。

We present wave-particle duality relations involving the relative entropy coherence measure, which plays a prominent role in the resource theory of coherence. The main input in these relations is an entropic bound for the which-way information, which we derive in this letter. We show that this latter crucially depends on the choice of the measurement strategy to obtain the path information. In particular, we present results for two strategies: zero-error identification of the path-detector states, which never produces an error but sometimes fails to return a conclusive answer, and a mixed strategy where both errors and failure are allowed.

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