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Axioms 2014, 3(2), 166-176; doi:10.3390/axioms3020166
Communication

Joint Distributions and Quantum Nonlocal Models

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Received: 2 December 2013 / Revised: 1 March 2014 / Accepted: 2 April 2014 / Published: 15 April 2014
(This article belongs to the Special Issue Quantum Statistical Inference)
Download PDF [164 KB, 17 April 2014; original version 15 April 2014]

Abstract

A standard result in quantum mechanics is this: if two observables are commuting then they have a classical joint distribution in every state. A converse is demonstrated here: If a classical joint distribution for the pair agrees with standard quantum facts, then the observables must commute. This has consequences for some historical and recent quantum nonlocal models: they are analytically disallowed without the need for experiment, as they imply that all local observables must commute among themselves.
Keywords: quantum nonlocal models; testing nonlocal models; quantum conditional probability; commutativity; joint distributions quantum nonlocal models; testing nonlocal models; quantum conditional probability; commutativity; joint distributions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Malley, J.D.; Fletcher, A. Joint Distributions and Quantum Nonlocal Models. Axioms 2014, 3, 166-176.

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