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On time-reversal and space-time harmonic processes for Markovian quantum channels

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Abstract

The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived in a general framework via a suitable adjointness relation. Space-time harmonic processes are then introduced for the forward and reverse-time transition mechanisms, and their role in the study of quantum dynamics is illustrated by discussing (operator and scalar) relative entropy dynamics.

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Authors and Affiliations

  1. Dipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, 35131, Padova, Italy

    Francesco Ticozzi

  2. Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Trieste 63, 35131, Padova, Italy

    Michele Pavon

Authors
  1. Francesco Ticozzi
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  2. Michele Pavon
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Correspondence to Francesco Ticozzi.

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Ticozzi, F., Pavon, M. On time-reversal and space-time harmonic processes for Markovian quantum channels. Quantum Inf Process 9, 551–574 (2010). https://doi.org/10.1007/s11128-010-0186-x

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  • DOI: https://doi.org/10.1007/s11128-010-0186-x

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