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Phys. Rev. Lett. 48, 291–295 (1982)

Hidden Variables, Joint Probability, and the Bell Inequalities

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Arthur Fine
University of Illinois at Chicago Circle, Chicago, Illinois 60680

Received 28 July 1981; published in the issue dated 1 February 1982

It is shown that the following statements about a quantum correlation experiment are mutually equivalent. (1) There is a deterministic hidden-variables model for the experiment. (2) There is a factorizable, stochastic model. (3) There is one joint distribution for all observables of the experiment, returning the experimental probabilities. (4) There are well-defined, compatible joint distributions for all pairs and triples of commuting and noncommuting observables. (5) The Bell inequalities hold.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.48.291
DOI:
10.1103/PhysRevLett.48.291
PACS:
03.50.Bz, 02.50.+s

See Also

Comment: Anupam Garg and N. D. Mermin, Comment on "Hidden Variables, Joint Probability, and the Bell Inequalities", Phys. Rev. Lett. 49, 242 (1982).

Reply: Arthur Fine, Fine Responds, Phys. Rev. Lett. 49, 243 (1982).