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

Todd A. Oliynyk
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Abstract

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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Todd A. Oliynyk. 2005-04-04. Hidden measurements, hidden variables and the volume representation of transition probabilities. https://doi.org/10.1007/s10701-004-1921-x

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