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EPR-Bohm experiment and Bell's inequality: Quantum physics meets probability theory
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik. (Matematik)ORCID iD: 0000-0002-9857-0938
2008 (English)In: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 157, no 1, p. 1448-1460Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
MAIK/SPRINGER , 2008. Vol. 157, no 1, p. 1448-1460
Keyword [en]
EPR-Bohm experiment, Bell's inequality
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-3861DOI: 10.1007/s11232-008-0119-3ISI: 000260620100007OAI: oai:DiVA.org:vxu-3861DiVA, id: diva2:203818
Available from: 2009-01-02 Created: 2009-01-02 Last updated: 2017-12-13Bibliographically approved

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Publisher's full texthttp://databas.bib.vxu.se:2451/summary.do?qid=2&product=WOS&SID=X2jIMGBJOn1Bng9N38b&search_mode=GeneralSearch

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Khrennikov, Andrei

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