Hidden Measurements, Hidden Variables and the Volume Representation of Transition Probabilities

Foundations of Physics 35 (1):85-107 (2005)

We construct, for any finite dimension n, a new hidden measurement model for quantum mechanics based on representing quantum transition probabilities by the volume of regions in projective Hilbert space. For n=2 our model is equivalent to the Aerts sphere model and serves as a generalization of it for dimensions n .≥ 3 We also show how to construct a hidden variables scheme based on hidden measurements and we discuss how joint distributions arise in our hidden variables scheme and their relationship with the results of Fine [J. Math. Phys. 23 1306 (1982)]
Keywords hidden measurements  hidden variables  classical representations of quantum probability
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DOI 10.1007/s10701-004-1921-x
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