Proposal for revealing quantum nonlocality via local contextuality

Abstract

Two distant systems can exhibit quantum nonlocality even though the correlations between them admit a local model. This nonlocality can be revealed by testing extra correlations between successive measurements on one of the systems which do not admit a noncontextual model whatever the reduced state of this system is. This shows that quantum contextuality plays a fundamental role in quantum nonlocality, and allows an experimental test of the Kochen-Specker with locality theorem.

REVTeX4-1, 4 pages, 1 figure

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Cited by in corpus (52)

• Kochen-Specker Contextuality
• Experimental implementation of a Kochen-Specker set of quantum tests
• Memory cost of quantum contextuality
• Hybrid ququart-encoded quantum cryptography protected by Kochen-Specker contextuality
• Scalable fiber integrated source for higher-dimensional path-entangled photonic quNits
• Necessary and sufficient condition for quantum state-independent contextuality
• Experimental scheme for qubit and qutrit symmetric informationally complete positive operator-valued measurements using multiport devices
• Quantum state-independent contextuality requires 13 rays
• What does an experimental test of quantum contextuality prove or disprove?
• Nonlocality from local contextuality
• Experimental observation of Hardy-like quantum contextuality
• Necessary and sufficient condition for contextuality from incompatibility
• Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality
• State-independent quantum contextuality for continuous variables
• Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden variable theories
• Proposed test of macroscopic quantum contextuality
• Deriving robust noncontextuality inequalities from algebraic proofs of the Kochen-Specker theorem: the Peres-Mermin square
• Parity proofs of the Bell-Kochen-Specker theorem based on the 600-cell
• Parity proofs of the Kochen-Specker theorem based on 60 complex rays in four dimensions
• Proposal of a two-qutrit contextuality test free of the finite precision and compatibility loopholes
• Quantum theory allows for absolute maximal contextuality
• Quantum information as a non-Kolmogorovian generalization of Shannon's theory
• Measurement compatibility in Bell nonlocality tests
• Probabilistic Generation of Quantum Contextual Sets
• Activation of monogamy in non-locality using local contextuality
• Non-deterministic semantics for quantum states
• Arbitrarily exhaustive hypergraph generation of 4-, 6-, 8-, 16-, and 32-dimensional quantum contextual sets
• Bell non-locality and Kochen-Specker contextuality: How are they connected?
• Local measurement uncertainties impose a limit on non-local quantum correlations
• Orthogonal Representation of Graphs
• A locally deterministic, detector-based model of quantum measurement
• New Class of 4-Dim Kochen-Specker Sets
• Certifying sets of quantum observables with any full-rank state
• Optimal and tight Bell inequalities for state-independent contextuality sets
• Uncertainty limits of the information exchange between a quantum system and an external meter
• Testing locality and noncontextuality with the lowest moments
• Quantitative relations between different measurement contexts
• Quantum nonlocality via local contextuality with qubit-qubit entanglement
• Natural information measures in Cox' approach for contextual probabilistic theories
• Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations
• Irreducible magic sets for $n$-qubit systems
• Local hidden-variable model for a recent experimental test of quantum nonlocality and local contextuality
• Complexity of the XY antiferromagnet at fixed magnetization
• The simplest Kochen-Specker set
• Lifting noncontextuality inequalities
• Tracing quantum correlations back to collective interferences
• Vector Generation of Contextual Sets
• Connecting extended Wigner's friend arguments and noncontextuality
• Twenty years of quantum contextuality at USTC
• Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios
• Haunted quantum contextuality versus value indefiniteness - a minority report
• Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System