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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 1, Pages 99–115
DOI: https://doi.org/10.4213/tmf6266 (Mi tmf6266) 		 
This article is cited in 27 scientific papers (total in 27 papers)

EPR–Bohm experiment and Bell's inequality: Quantum physics meets probability theory

A. Yu. Khrennikov

Växjö University
Full-text PDF (527 kB) Citations (27)
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DOI: https://doi.org/10.4213/tmf6266
Abstract: Our main aim in this paper is to inform the physics community (and especially experts in quantum information) about investigations of the problem of the probabilistic compatibility of a family of random variables: the possibility of realizing such a family based on a single probability measure (of constructing a single Kolmogorov probability space). These investigations were started a hundred years ago by Boole. The complete solution of the problem was obtained by the Soviet mathematician Vorobiev in the 1960s. It turns out that probabilists and statisticians obtained inequalities for probabilities and correlations that include the famous Bell's inequality and its generalizations.
Keywords: Bell's inequality, nonlocality, “death of reality”, probabilistic incompatibility of random variables, Boole's necessary condition, Vorobiev theorem, contextual description of the EPR–Bohm experiment.
Received: 07.09.2007
Revised: 09.11.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 1, Pages 1448–1460
DOI: https://doi.org/10.1007/s11232-008-0119-3
Bibliographic databases:
Language: Russian
Citation: A. Yu. Khrennikov, “EPR–Bohm experiment and Bell's inequality: Quantum physics meets probability theory”, TMF, 157:1 (2008), 99–115; Theoret. and Math. Phys., 157:1 (2008), 1448–1460
Citation in format AMSBIB
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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