Hostname: page-component-84b7d79bbc-5lx2p Total loading time: 0 Render date: 2024-07-30T06:37:15.243Z Has data issue: false hasContentIssue false
  • English
  • Français

Bell's inequality, probability modelling and quantum correlation experiments

Published online by Cambridge University Press:  14 July 2016

P. D. Finch
Get access Rights & Permissions [Opens in a new window]

Abstract

Problems associated with setting up a probability model which generates the quantum theoretical probabilities for the two spin 1/2 particle system are examined. Arguments which claim to show that such a model cannot be constructed within classical probability theory under the assumption of local singlet states are also considered. It is shown that the model then in question is not a probability model in the sense that term is used elsewhere in science. An alternative model is proposed and its bearing on the Einstein-Bohr debate is briefly discussed.

Type
Part 4 - Applied Probability and Quantum Theory
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 139 - 150
Copyright
Copyright © Applied Probability Trust 1988 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bell, J. S. (1964) On the Einstein Podolsky Rosen paradox. Physics 1, 195–200.CrossRefGoogle Scholar
Clauser, J. F., and Shimony, A. (1978) Bell's theorem: experimental tests and implications. Rep. Prog. Phys. 41, 1881–1927.CrossRefGoogle Scholar
Einstein, A. (1949) Albert Einstein: Philosopher-Scientist, ed. Schilpp, P. A., Library of Living Philosophers, Evanston, Illinois.Google Scholar
Feynman, R. P. (1965) Lectures on Physics, Vol. III. Addison-Wesley, Reading, Massachusetts.Google Scholar
Finch, P. D. (1982a) Classical probability and the quantum mechanical trace formulation of quantum mechanics. Found. Phys. 12, 327–345.CrossRefGoogle Scholar
Finch, P. D. (1982b) State assemblies and the Bell–Wigner locality argument. Found. Phys. 12, 759–764.CrossRefGoogle Scholar
Garg, A. and Mermin, N. D. (1984) Farkas's lemma and the nature of reality: Statistical implications of quantum correlations. Found. Phys. 14, 1–39.CrossRefGoogle Scholar
Koopman, B. O. (1957) Quantum theory and the foundations of probability. Proceedings of Symposia in Applied Mathematics Vol. VII. Applied Mathematics. McGraw-Hill, New York.Google Scholar
Wigner, E. P. (1970) On hidden variables and quantum mechanical probabilities. Amer. J. Phys. 38, 1005–1009.CrossRefGoogle Scholar