Contextual advantages and certification for maximum confidence discrimination

Abstract

One of the most fundamental results in quantum information theory is that no measurement can perfectly discriminate between non-orthogonal quantum states. In this work, we investigate quantum advantages for discrimination tasks over noncontextual theories by considering a maximum confidence measurement that unifies different strategies of quantum state discrimination, including minimum-error and unambiguous discrimination. We first show that maximum confidence discrimination, as well as unambiguous discrimination, contains contextual advantages. We then consider a semi-device independent scenario of certifying maximum confidence measurement. The scenario naturally contains undetected events, making it a natural setting to explore maximum confidence measurements. We show that the certified maximum confidence in quantum theory also contains contextual advantages. Our results establish how the advantages of quantum theory over a classical model may appear in a realistic scenario of a discrimination task.

References in corpus (28)

• Bell nonlocality
• Device-independent security of quantum cryptography against collective attacks
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Random Numbers Certified by Bell's Theorem
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Unknown Quantum States and Operations, a Bayesian View
• Contextuality for preparations, transformations, and unsharp measurements
• Device-independent quantum key distribution secure against collective attacks
• Quantum State Discrimination
• Quantum state discrimination and its applications
• Certified randomness in quantum physics
• Quantum cloning without signaling
• Maximum Confidence Quantum Measurements
• MHz-rate semi-device-independent quantum random number generators based on unambiguous state discrimination
• Contextual advantage for state discrimination
• Semi-device-independent framework based on natural physical assumptions
• Maximally epistemic interpretations of the quantum state and contextuality
• Asymptotic quantum cloning is state estimation
• Device-independent entanglement certification of all entangled states
• Structure of minimum-error quantum state discrimination
• On the Optimality of Square Root Measurements in Quantum State Discrimination
• Contextual advantage for state-dependent cloning
• Optimal Discrimination of Qubit States - Methods, Solutions, and Properties
• Complete analysis for three-qubit mixed-state discrimination
• No-signaling Principle Can Determine Optimal Quantum State Discrimination
• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
• Helstrom Theorem by No-Signaling Condition
• Optimal quantum state discrimination via nested binary measurements

Cited by in corpus (30)

• Properties and Applications of the Kirkwood-Dirac Distribution
• Aspects of the phenomenology of interference that are genuinely nonclassical
• What is nonclassical about uncertainty relations?
• Experimental certification of contextuality, coherence and dimension in a programmable universal photonic processor
• 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
• Maximum confidence measurement for qubit states
• Prepare-and-measure scenarios with photon-number constraints
• Contextuality in anomalous heat flow
• Alternative robust ways of witnessing nonclassicality in the simplest scenario
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Contextuality witness inspired by optimal state discrimination
• Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs
• Connecting XOR and XOR* games
• Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks
• Constrained Measurement Incompatibility from Generalised Contextuality of Steered Preparation
• Measurement-Protected Quantum Key Distribution
• Global restrictions under local state discrimination
• Efficient Computation of Generalized Noncontextual Polytopes and Quantum violation of their Facet Inequalities
• Entanglement witness and nonlocality in confidence of measurement from multipartite quantum state discrimination
• Failure of epistemic models to explain the antidistinguishability of quantum mixed preparations
• Contextual advantages across two-state discrimination strategies
• Discrimination and certification of unknown quantum measurements
• Contextuality-enhanced quantum state discrimination under fixed failure probability
• Effects of underlying topology on quantum state discrimination
• Operational Coherent Measurements with Steering and Randomness
• Decoupling local classicality from classical explainability: A noncontextual model for bilocal classical theory and a locally-classical but contextual theory
• Typicality of Contextuality