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    • Keywords


      Completely positive map; Markov process; GNS principle

    • Abstract


      Given a family of transition probability functions between measure spaces and an initial distribution Kolmogorov’s existence theorem associates a unique Markov process on the product space. Here a canonical non-commutative analogue of this result is established for families of completely positive maps betweenC* algebras satisfying the Chapman-Kolmogorov equations. This could be the starting point for a theory of quantum Markov processes.

    • Author Affiliations


      B V Rajarama Bhat1 K R Parthasarathy1

      1. Indian Statistical Institute, 7, S.J.S. Sansanwal Marg, New Delhi - 110016, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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