Classical and Quantum Probability in the ∈-Model
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We describe the probabilistic study of a hiddenvariable model in which the origin of the quantumprobability is due to fluctuations of the internal stateof the measuring apparatus. By varying the intensity of these fluctuations from zero to a maximalvalue, we describe in a heuristic manner the transitionfrom classical behavior to quantum behavior. Wecharacterize this transition in terms of theAccardi–Fedullo inequalities. This is a review article in whichwe gather our recent contributions to the subject, mostof which have not been published in articleform.
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