Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-17T10:11:28.698Z Has data issue: false hasContentIssue false
  • English
  • Français

Pair Distributions and Conditional Independence: Some Hints about the Structure of Strange Quantum Correlations

Published online by Cambridge University Press:  01 April 2022

N. D. Mermin
N. D. Mermin*
Affiliation:
Laboratory of Atomic & Solid State Physics, Cornell University
Get access Rights & Permissions [Opens in a new window]

Abstract

Some statistical questions that arise in studies of Einstein-Podolsky-Rosen correlations are given precise and complete answers for a very simple but artificial set of pair distributions. Some recent results and conjectures about hidden variable representations of the more complex distributions that describe the Einstein-Podolsky-Rosen experiment are examined in the light of the behavior of the simple model.

Type
Research Article
Information
Philosophy of Science , Volume 50 , Issue 3 , September 1983 , pp. 359 - 373
Copyright
Copyright © Philosophy of Science Association 1983

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.)

Footnotes

†

I would like to thank Abner Shimony for reading and commenting upon an earlier version of the manuscript, and Anupam Garg for exercising great patience and mathematical skill in restraining some of my more exuberant conjectures. This work was supported in part by the National Science Foundation under Grant DMR 80-20429.

References

Bell, J. S. (1964), “On the Einstein Podolsky Rosen Paradox”, Physics 1: 195–200.CrossRefGoogle Scholar
Clauser, J. F., and Horne, M. A. (1974), “Experimental consequences of Objective Local Theories”, Physical Review D 10: 526–535.10.1103/PhysRevD.10.526CrossRefGoogle Scholar
Fine, Arthur (1982a), “Hidden Variables, Joint Probability, and the Bell Inequalities”, Physical Review Letters 48: 291–295.CrossRefGoogle Scholar
Fine, Arthur (1982b), “Fine Responds”, Physical Review Letters 49: 243.CrossRefGoogle Scholar
Garg, Anupam, and Mermin, N. D. (1982a), “Comment on ‘Hidden Variables, Joint Probability, and the Bell Inequalities'”, Physical Review Letters 49: 242.CrossRefGoogle Scholar
Garg, Anupam, and Mermin, N. D. (1982b), “Correlation Inequalities and Hidden Variables”, Physical Review Letters 49: 1220–1223.CrossRefGoogle Scholar
Garg, Anupam, and Mermin, N. D. (1982c), “Bell Inequalities with a Range of Violation that Does Not Diminish as the Spin Becomes Arbitrarily Large”, Physical Review Letters 49: 901–904.10.1103/PhysRevLett.49.901CrossRefGoogle Scholar
Garg, Anupam, and Mermin, N. D. (1983a), “Local Realism and Measured Correlations in the Spin-s Einstein-Podolsky-Rosen Experiment”, Physical Review D 27: 339–348.10.1103/PhysRevD.27.339CrossRefGoogle Scholar
Garg, Anupam, and Mermin, N. D. (1983b), “Farkas's Lemma and the Nature of Reality: Statistical Implications of Quantum Correlations”, to appear in Foundations of Physics.Google Scholar
Mermin, N. D. (1980), “Quantum Mechanics vs. Local Realism Near the Classical Limit: A Bell Inequality for Spin s”, Physical Review D 22: 356–361.10.1103/PhysRevD.22.356CrossRefGoogle Scholar
Mermin, N. D. (1981a), “Quantum Mysteries for Anyone”, Journal of Philosophy LXXVIII: 397–408.CrossRefGoogle Scholar
Mermin, N. D. (1981b), “Bringing Home the Atomic World: Quantum Mysteries for Anybody”, American Journal of Physics 49: 940–943.10.1119/1.12594CrossRefGoogle Scholar
Mermin, N. D. (1982), “Letter to the Editor”, American Journal of Physics 50: 781.10.1119/1.13096CrossRefGoogle Scholar
Mermin, N. D. and Schwarz, Gina M. (1982), “Joint Distributions and Local Realism in the Higher-Spin Einstein-Podolsky-Rosen Experiment”, Foundations of Physics 12: 101–135.CrossRefGoogle Scholar
Shimony, Abner (1981), “Critique of the Papers of Fine and Suppes”, PSA 1980, pp. 572–580.Google Scholar
Suppes, Patrick, and Zanotti, Mario (1980), “A New Proof of the Impossibility of Hidden Variables Using the Principles of Exchangeability and Identity of Conditional Distributions”, in Suppes, P. (ed.), Studies in the Foundations of Quantum Mechanics, East Lansing, Mich.: Philosophy of Science Association, pp. 173–191.Google Scholar