Discriminating three mirror-symmetric states with a restricted contextual advantage

The generalized notion of noncontextuality provides an avenue to explore the fundamental departure quantum theory from a classical explanation. Recently, extracting different forms advantages in various information processing tasks has received upsurge attention. In recent work [Schmid and Spekkens, Phys. Rev. X 8, 011015 (2018)] it been demonstrated that minimum error discrimination two nonorthogonal pure states entails contextual advantage when are supplied with equal prior probabilities. We generalize their for arbitrary probabilities extend investigation three mirror-symmetric states. show can be obtained any value probability only present task. But surprisingly, case states, revealed restrictive range which supplied. Further, we our study examine maximum confidence state discrimination. demonstrate preparation play similar role exploiting