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Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability

Pitowsky, Itamar (2002) Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability. [Preprint]

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    Abstract

    We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles. These include the uncertainty principle and the violation of Bell's inequality among others. Quantum gambles are closely related to quantum logic and provide a new semantics to it. We conclude with a philosophical discussion on the interpretation of quantum mechanics.


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    Item Type: Preprint
    Keywords: quantum mechanics, Bayesian probability, quantum logic
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Itamar Pitowsky
    Date Deposited: 21 Aug 2002
    Last Modified: 07 Oct 2010 11:11
    Item ID: 766
    URI: http://philsci-archive.pitt.edu/id/eprint/766

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