Abstract
A procedure of classical extension of a theory is worked out on the basis of a natural generalization of the notion of observable, the states of the extended theory being the probability measures on the pure states of the original one. Such a classical extension applies to quantum theory, and the qualifying features of quantum observables are preserved in the extended model.
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Beltrametti, E.G., Bugajski, S. Quantum observables in classical frameworks. Int J Theor Phys 34, 1221–1229 (1995). https://doi.org/10.1007/BF00676232
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DOI: https://doi.org/10.1007/BF00676232