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Quantum probability and operational statistics

  • Part I. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)
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Abstract

We develop the concept of quantum probability based on ideas of R. Feynman. The general guidelines of quantum probability are translated into rigorous mathematical definitions. We then compare the resulting framework with that of operational statistics. We discuss various relationship between measurements and define quantum stochastic processes. It is shown that quantum probability includes both conventional probability theory and traditional quantum mechanics. Discrete quantum systems, transition amplitudes, and discrete Feynman amplitudes are treated. We close with some examples that illustrate previously defined concepts.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Denver, 80208, Denver, Colorado

    Stanley Gudder

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  1. Stanley Gudder
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Gudder, S. Quantum probability and operational statistics. Found Phys 20, 499–527 (1990). https://doi.org/10.1007/BF01883237

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  • DOI: https://doi.org/10.1007/BF01883237

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