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Unified approach to contextuality, non-locality, and temporal correlations

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arxiv 1302.3502 v2 pith:FVCFMSMN submitted 2013-02-14 quant-ph

Unified approach to contextuality, non-locality, and temporal correlations

M. Markiewicz , P. Kurzynski , J. Thompson , S.-Y. Lee , A. Soeda , T. Paterek , D. Kaszlikowski This is my paper
classification quant-ph
keywords approachbell-typecontextualityleggett-garg-typespatialtemporalassumptionbehind
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We highlight the existence of a joint probability distribution as the common underpinning assumption behind Bell-type, contextuality, and Leggett-Garg-type tests. We then present a procedure to translate contextual scenarios into temporal Leggett-Garg-type and spatial Bell-type ones. To demonstrate the generality of this approach we construct a family of spatial Bell-type inequalities. We show that in Leggett-Garg scenario a necessary condition for contextuality in time is given by a violation of consistency conditions in Consistent Histories approach to quantum mechanics.

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