We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob's measurement.

中文翻译：

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具有不确定结果的固定比率的量子状态判别中的互信息和量子不协调

我们研究了当 Bob 对两个纯非正交量子态（以任意先验概率生成）实施具有固定不确定结果率 (FRIO) 的判别时，Alice 和 Bob 共享的互信息和量子不和谐。FRIO 鉴别在最小误差 (ME) 和明确状态鉴别 (UD) 之间进行插值。ME 和 UD 是众所周知的判别协议，在量子信息理论中有多种应用。FRIO 辨别提供了一个更通用的框架，可以在其中研究辨别过程及其应用。在此设置中，我们比较了最佳判别概率、互信息和量子不和谐的性能。我们发现可访问的信息是在 Bob 实施 ME 策略时获得的。