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Probabilistic foundations of contextuality

2017

Contextuality is usually defined as absence of a joint distribution for a set of measurements (random variables) with known joint distributions of some of its subsets. However, if these subsets of measurements are not disjoint, contextuality is mathematically impossible even if one generally allows (as one must) for random variables not to be jointly distributed. To avoid contradictions one has to adopt the Contextuality-by-Default approach: measurements made in different contexts are always distinct and stochastically unrelated to each other. Contextuality is reformulated then in terms of the (im)possibility of imposing on all the measurements in a system a joint distribution of a particul…

Pure mathematics(in)consistent connectednessmultimaximal couplingProperty (philosophy)Computer scienceGeneralizationFOS: Physical sciencesGeneral Physics and AstronomyDisjoint sets01 natural sciences050105 experimental psychologykontekstuaalisuusJoint probability distribution0103 physical sciencesFOS: Mathematicscontextuality0501 psychology and cognitive sciencescyclic systemcoupling010306 general physicsQuantum Physicskytkentäta114Probability (math.PR)ta11105 social sciencesProbabilistic logic16. Peace & justiceCoupling (probability)Kochen–Specker theoremQuantum Physics (quant-ph)81P13 81Q99 60A99Random variableMathematics - ProbabilityFortschritte der Physik
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