Experimental fully contextual correlations

Abstract

Quantum correlations are contextual yet, in general, nothing prevents the existence of even more contextual correlations. We identify and test a noncontextuality inequality in which the quantum violation cannot be improved by any hypothetical postquantum theory, and use it to experimentally obtain correlations in which the fraction of noncontextual correlations is less than 0.06. Our correlations are experimentally generated from the results of sequential compatible tests on a four-state quantum system encoded in the polarization and path of a single photon.

REVTeX4, 6 pages, 3 figures

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Cited by in corpus (42)

• Kochen-Specker Contextuality
• Simple explanation of the quantum violation of a fundamental inequality
• All noncontextuality inequalities for the n-cycle scenario
• Quantifying Contextuality
• Experimental implementation of a Kochen-Specker set of quantum tests
• Fundamental monogamy relation between contextuality and nonlocality
• Kochen-Specker set with seven contexts
• Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
• Quantum Advantage from Sequential-Transformation Contextuality
• Basic exclusivity graphs in quantum correlations
• Determining the parity of a permutation using an experimental NMR qutrit
• Converting contextuality into nonlocality
• Noncontextual wirings
• Resource theory of contextuality for arbitrary prepare-and-measure experiments
• Bell inequalities for the simplest exclusivity graph
• Measures of Contextuality and Noncontextuality
• Proof of the Peres conjecture for contextuality
• Quantum Correlations and Quantum Non-locality: a review and a few new ideas
• Multigraph approach to quantum non-locality
• Quantum theory allows for absolute maximal contextuality
• Probing the limits of correlations in an indivisible quantum system
• Twin inequality for fully contextual quantum correlations
• A proof of the Kochen-Specker theorem can always be converted to a state-independent noncontextuality inequality
• Orthogonal Representation of Graphs
• General conditions for maximal violation of non-contextuality in discrete and continuous variables
• Equivalence between face nonsignaling correlations, full nonlocality, all-versus-nothing proofs, and pseudotelepathy
• Graph Approach to Extended Contextuality
• Experimental demonstration of the connection between quantum contextuality and graph theory
• Anomalies of weight-based coherence measure and mixed maximally coherent states
• Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Bounding quantum theory with the exclusivity principle in a two-city experiment
• Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
• An experimental proposal for revealing contextuality in almost all qutrit states
• Logical and inequality based contextuality for qudits
• Corrected Bell and Noncontextuality Inequalities for Realistic Experiments
• Exclusivity structures and graph representatives of local complementation orbits
• Construction of State-independent Proofs for Quantum Contextuality
• Exploring the boundary of quantum correlations with a time-domain optical processor
• Quantum Measurements Are Noncontextual
• Twenty years of quantum contextuality at USTC
• Experimental Approach to Demonstrating Contextuality for Qudits
• Contextuality, superlocality and nonclassicality of supernoncontextuality