Classical Versus Quantum Probabilities
Some features that accompany the branching between classical and quantum probabilities are reviewed. We first review some aspects of the so called logical approach in which the states are viewed as probability measures on ordered structures, the latter being Boolean algebras in the classical case and nondistributive orthomodular lattices in the quantum case. The problem of providing intrinsic characterizations of classical and of quantum probabilities is also summarized. Generalizations of the usual classical probability framework that are able to host typical features of quantum probabilities are discussed: we consider in particular an approach which rests on a generalization of the usual notion of random variables.
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