论文标题
量子状态的最大置信度测量
Maximum confidence measurement for qubit states
论文作者
论文摘要
在量子状态歧视中，旨在通过执行测量结果从给定的合奏中识别未知状态。不同的策略，例如最小值歧视或明确的状态识别，可以找到不同的最佳测量结果。考虑到测量结果，最大程度的信心测量值（MCM）可以最大程度地确定输入的置信。这统一了一系列歧视策略，包括最低率和明确的状态识别，这可以理解为MCM的限制案例。在这项工作中，我们研究了Qubit状态的一般集合的MCM。我们提出了一种通过利用其几何形状来找到Qubit-State合奏的MCM的方法，并将其应用于几个有趣的情况，包括两种和四个混合状态以及任意数量的纯状态的混合状态和集合。我们还将MCM与Qubits的最小错误和明确的歧视进行了比较。我们的结果提供了对MCM的各种量子测量值的解释，可以用于设计量子协议。
In quantum state discrimination, one aims to identify unknown states from a given ensemble by performing measurements. Different strategies such as minimum-error discrimination or unambiguous state identification find different optimal measurements. Maximum-confidence measurements (MCMs) maximise the confidence with which inputs can be identified given the measurement outcomes. This unifies a range of discrimination strategies including minimum-error and unambiguous state identification, which can be understood as limiting cases of MCM. In this work, we investigate MCMs for general ensembles of qubit states. We present a method for finding MCMs for qubit-state ensembles by exploiting their geometry and apply it to several interesting cases, including ensembles two and four mixed states and ensembles of an arbitrary number of pure states. We also compare MCMs to minimum-error and unambiguous discrimination for qubits. Our results provide interpretations of various qubit measurements in terms of MCM and can be used to devise qubit protocols.
