Physical Review Letters · 1982 · 1.2K citations · 9 references
Natural SciencesMathematicsPhysicsProbability TheoryQuantum MechanicsStochastic ProcessesProbability InequalitiesQuantum MeasurementQuantum ObservablesQuantum StatesQuantum StatisticsBell InequalitiesBell's TheoremCommuting ObservablesJoint Probability AnalysisJoint Probability Density FunctionsJoint Probability Mass FunctionsJoint Probability SpacesQuantum Correlations
The Bell inequalities hold. The paper demonstrates that a quantum correlation experiment admits a deterministic hidden‑variables model, a factorizable stochastic model, a single joint distribution for all observables, and well‑defined joint distributions for all pairs and triples of commuting and non‑commuting observables, showing these statements are mutually equivalent.
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.
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Proposed Experiment to Test Local Hidden-Variable Theories
John F. Clauser, Michael Horne, Abner Shimony et al. · Physical Review Letters · 1969 · 7.6K citations · Full text
Bell's theorem. Experimental tests and implications
John F. Clauser, Abner Shimony · Reports on Progress in Physics · 1978 · 1.6K citations
Humanities, Philosophy, Physics +14