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.

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

TICOZZI, FRANCESCO;PAVON, MICHELE
2010

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2441507
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