Proof of Kolmogorovian Censorship

Abstract

Many argued (Accardi and Fedullo, Pitowsky) that Kolmogorov's axioms of classical probability theory are incompatible with quantum probabilities, and this is the reason for the violation of Bell's inequalities. Szabó showed that, in fact, these inequalities are not violated by the experimentally observed frequencies if we consider the real, ``effective'' frequencies. We prove in this work a theorem which generalizes this result: ``effective'' frequencies associated to quantum events always admit a Kolmogorovian representation, when these events are collected through different experimental set ups, the choice of which obeys a classical distribution.

19 pages, LaTeX

References in corpus (2)

• Is Quantum Mechanics Compatible with a Deterministic Universe? Two Interpretations of Quantum Probabilities
• Is Quantum Mechanics Compatible with an Entirely Deterministic Universe?

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• Excluding joint probabilities from quantum theory
• Chain of Hardy-type local reality constraints for $n$ qubits
• Quantum mechanics as a noncommutative representation of classical conditional probabilities
• Is there anything non-classical?
• Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe?