publication . Preprint . Article . 2005

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

Todd Oliynyk; Todd Oliynyk;
Open Access English
  • Published: 04 Apr 2005
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.
Persistent Identifiers
Subjects
free text keywords: Quantum Physics, General Physics and Astronomy, Hidden variable theory, Statistical physics, Hidden semi-Markov model, Joint probability distribution, Quantum, Local hidden variable theory, Projective Hilbert space, Mathematics, Mathematical analysis
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)

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