Generalization of the proof on the existence of hidden measurements to experiments with an infinite set of outcomes
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We generalize Aerts' proof concerning the existence of hidden measurements for experiments withn outcomes to general experiments with an infinite set of outcomes. More specific we prove that, ifɛ is a set of experiments on an entityS with a set of pure states Σ, and alle ∈ɛ are such that the outcomes can be represented as a measurable subset of a finite dimensional real space, on which for every initial state of the entity there exists a probability measure, then there exists a hidden measurement representation for this set of experiments.
Key wordsquantum probability determinism lack of knowledge hidden measurements
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