On time-reversal and space-time harmonic processes for Markovian quantum channels |
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| Authors: | Francesco Ticozzi Michele Pavon |
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| Affiliation: | 1.Dipartimento di Ingegneria dell’Informazione,Università di Padova,Padova,Italy;2.Dipartimento di Matematica Pura ed Applicata,Università di Padova,Padova,Italy |
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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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