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    Hidden Variables, Joint Probability, and the Bell Inequalities

    Arthur Fine

    • University of Illinois at Chicago Circle, Chicago, Illinois 60680

    Phys. Rev. Lett. 48, 291 – Published 1 February, 1982

    DOI: https://doi.org/10.1103/PhysRevLett.48.291

    Abstract

    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.

    Comments & Replies

    Comment on "Hidden Variables, Joint Probability, and the Bell Inequalities"

    Anupam Garg and N. D. Mermin
    Phys. Rev. Lett. 49, 242 (1982)

    Fine Responds

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

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