Incompatibility of effects in general probabilistic models

Abstract

We give a necessary and sufficient condition for the incompatibility of a pair of effects in a general probabilistic model in which the state space is a total convex space, which can be obtained by minimising a real parameter. This has an interpretation in terms of the least noise that must be included to make the given pair compatible.

References in corpus (5)

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• All measurements in a probabilistic theory are compatible if and only if the state space is a simplex
• Incompatible measurements in a class of general probabilistic theories
• Compatibility of any pair of 2-outcome measurements characterizes the Choquet simplex