WANG Wenhua1, CAO Huaixin2*
(1 School of Ethnic Nationalities Education, Shaanxi Normal University, Xi′an 710062, Shaanxi, China;2 School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
The concepts of the discrimination and unambiguous discrimination of a set of quantum states are introduced, and sufficient and necessary conditions for a set of quantum states to be discriminable and unambiguous discriminable are obtained. The mathematical description for the minimal erroneous discrimination is established. Finally, the square root measurement is constructed, and an upper bound of the erroneous average probability for discrimination of a set of quantum states using the square root measurement is computed.
KeyWords:
quantum state discrimination; discrimination; unambiguous discrimination; square root measurement
