Unified approach to contextuality, nonlocality, and temporal correlations

Unified approach to contextuality, nonlocality, 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...

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Bibliographic Details
Main Authors: Markiewicz, M., Kurzyński, P., Thompson, J., Lee, S.-Y., Soeda, A., Paterek, T., Kaszlikowski, D.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2014
Subjects:
DRNTU::Science::Physics
Online Access:https://hdl.handle.net/10356/104101
http://hdl.handle.net/10220/19553
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Institution: Nanyang Technological University
Language: English
Description
Summary: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 the Leggett-Garg scenario a necessary condition for contextuality in time is given by a violation of consistency conditions in the consistent histories approach to quantum mechanics.

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