论文标题
资源有限的一般测量及其在量子明确状态歧视中的应用
General measurements with limited resources and their application to quantum unambiguous state discrimination
论文作者
论文摘要
在本报告中，我们提出了一个框架，用于在$ m $ qubit寄存器上实施任意$ n $ outcome的广义量子测量（POVM），作为仅需要单个辅助量子的两种结果测量的顺序。我们的过程为两项局部测量提供了特定的结构，可以将其组成，以完全实施任何门架构的测量。总体而言，这种实现需要经典的反馈；在情况下，我们会提出具体案例。我们将此框架应用于明确的国家歧视并分析可能的策略。在最简单的情况下，如果我们首先选择执行结论性测量，则它具有与已知的相同的结构。但是，它还提供了首先对国家结果进行测量的可能性，从而提供了以后的结论性测量。这显示了提出的框架的灵活性，并为进一步的优化打开了可能性。我们还介绍了关于偏置量子案例的讨论，以及在更高维度中明确的量子状态歧视的一般情况。
In this report, we present a framework for implementing an arbitrary $n$-outcome generalized quantum measurement (POVM) on an $m$-qubit register as a sequence of two-outcome measurements requiring only single ancillary qubit. Our procedure offers a particular construction for the two-outcome partial measurements which can be composed into a full implementation of the measurement on any gate architecture. This implementation in general requires classical feedback; we present specific cases when this is not the case. We apply this framework on the unambiguous state discrimination and analyze possible strategies. In the simplest case, it gives the same construction as is known, if we opt for performing conclusiveness measurement first. However, it also offers possibility of performing measurement for one of the state outcomes first, leaving conclusiveness measurement for later. This shows flexibility of presented framework and opens possibilities for further optimization. We present discussion also on biased qubit case as well as general case of unambiguous quantum state discrimination in higher dimension.
