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Necessary and Sufficient Conditions for an Extended Noncontextuality in a Broad Class of Quantum Mechanical Systems
University of Jyvaskyla, Finland.
Purdue University, IN 47907 USA.
Linköping University, Department of Electrical Engineering, Information Coding. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-1082-8325
2015 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 115, no 15, 150401- p.Article in journal (Refereed) Published
Abstract [en]

The notion of (non) contextuality pertains to sets of properties measured one subset (context) at a time. We extend this notion to include so-called inconsistently connected systems, in which the measurements of a given property in different contexts may have different distributions, due to contextual biases in experimental design or physical interactions (signaling): a system of measurements has a maximally noncontextual description if they can be imposed a joint distribution on in which the measurements of any one property in different contexts are equal to each other with the maximal probability allowed by their different distributions. We derive necessary and sufficient conditions for the existence of such a description in a broad class of systems including Klyachko-Can-Binicioglu-Shumvosky-type (KCBS), EPR-Bell-type, and Leggett-Garg-type systems. Because these conditions allow for inconsistent connectedness, they are applicable to real experiments. We illustrate this by analyzing an experiment by Lapkiewicz and colleagues aimed at testing contextuality in a KCBS-type system.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2015. Vol. 115, no 15, 150401- p.
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-122195DOI: 10.1103/PhysRevLett.115.150401ISI: 000362337200001OAI: oai:DiVA.org:liu-122195DiVA: diva2:865058
Note

Funding Agencies|NSF [SES-1155956]; AFOSR [FA9550-14-1-0318]; A. von Humboldt Foundation; FQXi through the Silicon Valley Community Foundation

Available from: 2015-10-26 Created: 2015-10-23 Last updated: 2017-12-01

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Larsson, Jan-Åke

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