Hidden measurements, hidden variables and the volume representation of transition probabilities

Details Hidden measurements, hidden variables and the volume representation of transition probabilities Hidden measurements, hidden variables and the volume representation of transition probabilities

2005-04-04

arxiv.org/abs/quant-ph/0504019v1

Found. Phys. 35 (2005), 85-107

Physics

Quantum Physics

23 pages, 1 figure

Scientific paper

10.1007/s10701-004-1921-x

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 $n \geq 3$. 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.

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