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Quantum measurements and Kolmogorovian probability theory

D. A. Slavnov
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Abstract

We establish connections between the requirement of measurability of a probability space and the principle of complimentarity in quantum mechanics. It is shown that measurability of a probability space implies the dependence of results of quantum measurement not only on the properties of a quantum object under consideration, but also on the classical characteristics of the measuring device which is used. We show that if one takes into account the requirement of measurability in a quantum case, the Bell inequality does not follow from the hypothesis about the existence of an objective reality.

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D. A. Slavnov. 2003-01-08. Quantum measurements and Kolmogorovian probability theory. https://arxiv.org/abs/quant-ph/0301027

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