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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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

id	sg-ntu-dr.10356-104101
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spelling	sg-ntu-dr.10356-1041012023-02-28T19:44:33Z Unified approach to contextuality, nonlocality, and temporal correlations Markiewicz, M. Kurzyński, P. Thompson, J. Lee, S.-Y. Soeda, A. Paterek, T. Kaszlikowski, D. School of Physical and Mathematical Sciences DRNTU::Science::Physics 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. Published version 2014-06-04T04:02:20Z 2019-12-06T21:26:25Z 2014-06-04T04:02:20Z 2019-12-06T21:26:25Z 2014 2014 Journal Article Markiewicz, M., Kurzyński, P., Thompson, J., Lee, S. Y., Soeda, A., Paterek, T., et al. (2014). Unified approach to contextuality, nonlocality, and temporal correlations. Physical Review A, 89(4), 042109-. 1050-2947 https://hdl.handle.net/10356/104101 http://hdl.handle.net/10220/19553 10.1103/PhysRevA.89.042109 en Physical review A © 2014 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevA.89.042109. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Science::Physics
spellingShingle	DRNTU::Science::Physics Markiewicz, M. Kurzyński, P. Thompson, J. Lee, S.-Y. Soeda, A. Paterek, T. Kaszlikowski, D. Unified approach to contextuality, nonlocality, and temporal correlations
description	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.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Markiewicz, M. Kurzyński, P. Thompson, J. Lee, S.-Y. Soeda, A. Paterek, T. Kaszlikowski, D.
format	Article
author	Markiewicz, M. Kurzyński, P. Thompson, J. Lee, S.-Y. Soeda, A. Paterek, T. Kaszlikowski, D.
author_sort	Markiewicz, M.
title	Unified approach to contextuality, nonlocality, and temporal correlations
title_short	Unified approach to contextuality, nonlocality, and temporal correlations
title_full	Unified approach to contextuality, nonlocality, and temporal correlations
title_fullStr	Unified approach to contextuality, nonlocality, and temporal correlations
title_full_unstemmed	Unified approach to contextuality, nonlocality, and temporal correlations
title_sort	unified approach to contextuality, nonlocality, and temporal correlations
publishDate	2014
url	https://hdl.handle.net/10356/104101 http://hdl.handle.net/10220/19553
_version_	1759853080530124800

Unified approach to contextuality, nonlocality, and temporal correlations

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