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Why can states and measurement outcomes be represented as vectors?

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  • Porta Mana, PierGianLuca

    (Norwegian University of Science and Technology)

Abstract

It is shown how, given a "probability data table" for a quantum or classical system, the representation of states and measurement outcomes as vectors in a real vector space follows in a natural way. Some properties of the resulting sets of these vectors are discussed, as well as some connexions with the quantum-mechanical formalism.

Suggested Citation

  • Porta Mana, PierGianLuca, 2003. "Why can states and measurement outcomes be represented as vectors?," OSF Preprints q9frx, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:q9frx
    DOI: 10.31219/osf.io/q9frx
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    Cited by:

    1. Porta Mana, PierGianLuca, 2020. "The rule of conditional probability is valid in quantum theory [Comment on Gelman & Yao's "Holes in Bayesian statistics"]," OSF Preprints bsnh7, Center for Open Science.
    2. Porta Mana, PierGianLuca, 2018. "Quantum theory within the probability calculus: a there-you-go theorem and partially exchangeable models," OSF Preprints m38x6, Center for Open Science.

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