Discriminating mirror symmetric states with restricted contextual advantage

Abstract

The generalized notion of noncontextuality provides an avenue to explore the fundamental departure of quantum theory from a classical explanation. Recently, extracting a different form of quantum advantage in various information processing tasks has received an upsurge of interest. In a recent work [D. Schmid and R. W. Spekkens, Phys. Rev. X 8, 011015 (2018)] it has been demonstrated that discrimination of two nonorthogonal pure quantum states entails contextual advantage when the states are supplied with equal prior probabilities. We generalized the work to arbitrary prior probabilities as well as to three arbitrary mirror-symmetric states. We show that the contextual advantage can be obtained for any value of prior probability when only two quantum states are present in the task. But surprisingly, in the case of three mirror-symmetric states, the contextual advantage is available only for a restrictive range of prior probabilities with which the states are prepared.

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Cited by in corpus (12)

• Coherence and contextuality in a Mach-Zehnder interferometer
• Kirkwood-Dirac representations beyond quantum states (and their relation to noncontextuality)
• A linear program for testing nonclassicality and an open-source implementation
• Contextuality with vanishing coherence and maximal robustness to dephasing
• Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
• Contextuality in anomalous heat flow
• Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs
• Constrained Measurement Incompatibility from Generalised Contextuality of Steered Preparation
• Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks
• Contextuality-enhanced quantum state discrimination under fixed failure probability
• Typicality of Contextuality
• Decoupling local classicality from classical explainability: A noncontextual model for bilocal classical theory and a locally-classical but contextual theory