Abstract We establish the link between minimum-error discrimination of two pure states and wave particle duality in two-path interferometers. In particular, the upper bound of the probability of success discrimination is derived directly from the corresponding duality relation. It is already known that quantum state discrimination can produce wave particle duality relations, here we show the converse is also true: Wave particle duality can be used to obtain information about state discrimination.

中文翻译：

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最小误差状态判别和定量波粒二象性

摘要 我们建立了双路径干涉仪中两个纯态的最小误差判别与波粒二象性之间的联系。特别是，成功判别概率的上限直接从对应的对偶关系推导出来。众所周知，量子态判别可以产生波粒二象性关系，这里我们证明反过来也成立：波粒二象性可以用来获得状态判别的信息。