Abstract
We discuss a generalization of the standard notion of probability space and show that the emerging framework, to be called operational probability theory, can be considered as underlying quantal theories. The proposed framework makes special reference to the convex structure of states and to a family of observables which is wider than the familiar set of random variables: it appears as an alternative to the known algebraic approach to quantum probability.
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Beltrametti, E., Bugajski, S. Quantum Mechanics and Operational Probability Theory. Foundations of Science 7, 197–212 (2002). https://doi.org/10.1023/A:1016007827863
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DOI: https://doi.org/10.1023/A:1016007827863