Epr-bohm experiment and Bell’s inequality: Quantum physics meets probability theory |
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Authors: | A Yu Khrennikov |
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Institution: | 1.International Center for Mathematical Modeling in Physics, Engineering, and Cognitive Science,V?xj? University,V?xj?,Sweden |
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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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 1, pp. 99–115, October, 2008. |
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