论文标题
部分可观测时空混沌系统的无模型预测
Quantifying coherence of quantum measurements
论文作者
论文摘要
在这项工作中，我们研究了如何量化量子测量的相干性。首先，我们建立了一个资源理论框架来解决测量的连贯性，并表明可以采用任何统计距离来定义测量的连贯性单调。例如，相对熵将所有必需的属性作为适当的单调。我们根据正面操作员值测量（POVM）组件的外部元素（POVM）组件特别引入了测量的相干单调。该量化为测量固定的鲁棒性提供了一个下限，该量具有操作含义，这是与状态歧视任务中所有不连贯测量的最大优势。最后，我们提出了一个实验方案，以评估我们对测量量的量化，并通过在IBM Q处理器上使用单个量子进行实验来证明它。
In this work we investigate how to quantify the coherence of quantum measurements. First, we establish a resource theoretical framework to address the coherence of measurement and show that any statistical distance can be adopted to define a coherence monotone of measurement. For instance, the relative entropy fulfills all the required properties as a proper monotone. We specifically introduce a coherence monotone of measurement in terms of off-diagonal elements of Positive-Operator-Valued Measure (POVM) components. This quantification provides a lower bound on the robustness of measurement-coherence that has an operational meaning as the maximal advantage over all incoherent measurements in state discrimination tasks. Finally, we propose an experimental scheme to assess our quantification of measurement-coherence and demonstrate it by performing an experiment using a single qubit on IBM Q processor.
