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Paper detail

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

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.

preprint2014arXivOpen access
M. MarkiewiczP. KurzynskiJ. ThompsonS. -Y. LeeA. SoedaT. PaterekD. Kaszlikowski
quant-ph
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M. MarkiewiczP. KurzynskiJ. ThompsonS. -Y. LeeA. SoedaT. PaterekD. Kaszlikowski

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