Universal programmable maximum confidence quantum measurement of two unknown states
Shouya Wang, Xiaodong Zheng, Wenhai Zhang · Zhongguo kexue. Wulixue Lixue Tianwenxue · 2024
In this study, the universal programmable maximum confidence quantum measurement of two unknown states is investigated. The set of measurement operators includes the correct operators and an inconclusive operator. We first determine the two correct operators of the optimal positive-operator valued measure, from which the individual correct probabilities can be obtained. In order to evaluate the efficiency of the correct operators, the average confidence probability is defined. In terms of the positivity of an inconclusive operator, we calculate the value of the average confidence probability and present the explicit expression of the maximum of the average confidence probability. Finally, the application of the research results to quantum key distribution is discussed.