Twin inequality for fully contextual quantum correlations
arXiv:1209.0112 · doi:10.1103/PhysRevA.87.010104
Abstract
Quantum mechanics exhibits a very peculiar form of contextuality. Identifying and connecting the simplest scenarios in which more general theories can or cannot be more contextual than quantum mechanics is a fundamental step in the quest for the principle that singles out quantum contextuality. The former scenario corresponds to the Klyachko-Can-Binicioglu-Shumovsky (KCBS) inequality. Here we show that there is a simple tight inequality, twin to the KCBS, for which quantum contextuality cannot be outperformed. In a sense, this twin inequality is the simplest tool for recognizing fully contextual quantum correlations.
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References in corpus (8)
- Contextuality for preparations, transformations, and unsharp measurements
- A simple test for hidden variables in spin-1 system
- Experimental non-classicality of an indivisible quantum system
- State-independent quantum contextuality with single photons
- Experimental generation and characterization of single-photon hybrid ququarts based on polarization-orbital angular momentum encoding
- Kochen-Specker theorem for a single qubit using positive operator-valued measures
- Experimental fully contextual correlations
- Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system
Cited by in corpus (14)
- A Combinatorial Approach to Nonlocality and Contextuality
- Simple method for experimentally testing any form of quantum contextuality
- Kochen-Specker set with seven contexts
- Basic exclusivity graphs in quantum correlations
- Converting contextuality into nonlocality
- Multigraph approach to quantum non-locality
- Quantum Contextuality
- Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem
- Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
- Revealing quantum contextuality using a single measurement device
- Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
- Bosonic Indistinguishability-Dependent Contextuality
- Quantum Measurements Are Noncontextual
- Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions