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

  • Authors:

  • Francesco Ticozzi;Michele Pavon

  • Affiliations:

  • Dipartimento di Ingegneria dell'Informazione, Università di Padova, Padova, Italy 35131;Dipartimento di Matematica Pura ed Applicata, Università di Padova, Padova, Italy 35131

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2010

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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.