Contextual advantages across two-state discrimination strategies

Abstract

Quantum state discrimination, alongside its other applications, has recently found use as a tool for witnessing generalised contextuality. In this article, we derive noncontextuality inequalities for both conclusive and inconclusive outcomes across various guessing strategies. For minimum-error discrimination, the advantage is in terms of the confidences of individual outcomes, while for unambiguous state discrimination, it is in terms of the average guessing probability. For maximum-confidence discrimination, we show that contextual advantages occur not only for the confidence but also their average, the guessing probability, as well as the inconclusive outcome rate. Our results show that contextual advantages are observed across all two-state discrimination schemes and figures of merit. We envisage that various quantum information applications based on state discrimination may offer advantages over noncontextual theories.

References in corpus (21)

• On the reality of the quantum state
• Contextuality for preparations, transformations, and unsharp measurements
• Unambiguous Discrimination Between Linearly-Independent Quantum States
• Quantum state discrimination and its applications
• Is the quantum state real? An extended review of $\psi$-ontology theorems
• Kochen-Specker Contextuality
• Maximum Confidence Quantum Measurements
• MHz-rate semi-device-independent quantum random number generators based on unambiguous state discrimination
• Contextual advantage for state discrimination
• All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed sets of operational equivalences
• Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
• Contextual advantage for state-dependent cloning
• Contextual advantages and certification for maximum confidence discrimination
• Experimental certification of contextuality, coherence and dimension in a programmable universal photonic processor
• An invertible map between Bell non-local and contextuality scenarios
• Noncontextuality Inequalities from Antidistinguishability
• Contextuality as a Precondition for Quantum Entanglement
• Maximum confidence measurement for qubit states
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Alternative robust ways of witnessing nonclassicality in the simplest scenario
• Contextuality witness inspired by optimal state discrimination