Abstract
To derive an optimal quantum detection that minimizes the average probability of detection error is an important problem in quantum information theory. Especially, a study of mixed-state signals is important not only for reliable communications but also for secure communications. To date, the Square-Root Measurement (SRM) has been received much attention because it is the optimal or asymptotically-optimal detection for quantum state signals. The main purpose of this correspondence is to consider the Pseudo-Classicality of the SRM.