The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived via a suitable adjointness relation. Space-time harmonic processes are introduced for the forward and reverse-time transition mechanisms, and their role for relative entropy dynamics is discussed.

Time-reversal and strong H-theorem for quantum discrete-time Markov channels

TICOZZI, FRANCESCO;PAVON, MICHELE
2009

Abstract

The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived via a suitable adjointness relation. Space-time harmonic processes are introduced for the forward and reverse-time transition mechanisms, and their role for relative entropy dynamics is discussed.
From Physics to Control through an Emergent View (selected papers from the PhysCon09 conference proceedings)
9789814313148
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2431679
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