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Probability operators and convolution semigroups of instruments in quantum probability
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  • Published: June 1989

Probability operators and convolution semigroups of instruments in quantum probability

  • Alberto Barchielli1,2 

Probability Theory and Related Fields volume 82, pages 1–8 (1989)Cite this article

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Summary

In quantum measurement theory a central notion is that of instrument, which is a certain kind of operator-valued measure. In this paper instruments on locally compact groups are studied and, as in classical probability theory, probability operators associated with instruments are introduced. Then, the generator of a norm continuous semigroup of probability operators is characterized.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Milano, Via Celoria 16, I-20133, Milano, Italy

    Alberto Barchielli

  2. Sezione di Milano, Istituto Nazionale di Fisica Nucleare, Milano, Italy

    Alberto Barchielli

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  1. Alberto Barchielli
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Barchielli, A. Probability operators and convolution semigroups of instruments in quantum probability. Probab. Th. Rel. Fields 82, 1–8 (1989). https://doi.org/10.1007/BF00340008

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  • Received: 17 November 1987

  • Issue Date: June 1989

  • DOI: https://doi.org/10.1007/BF00340008

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Keywords

  • Stochastic Process
  • Convolution
  • Probability Theory
  • Statistical Theory
  • Compact Group
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