Next Article in Journal
Deterministic Greedy Routing with Guaranteed Delivery in 3D Wireless Sensor Networks
Next Article in Special Issue
Classical Probability and Quantum Outcomes
Previous Article in Journal
Bell Length as Mutual Information in Quantum Interference
Previous Article in Special Issue
Orthogonality and Dimensionality
Open AccessCommunication

Joint Distributions and Quantum Nonlocal Models

Center for Information Technology, National Institutes of Health (NIH), Bethesda, MD 20892, USA
*
Author to whom correspondence should be addressed.
Axioms 2014, 3(2), 166-176; https://doi.org/10.3390/axioms3020166
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)
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. View Full-Text
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
MDPI and ACS Style

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

Show more citation formats Show less citations formats

Article Access Map

1
Only visits after 24 November 2015 are recorded.
Back to TopTop