Time-Reversal and Strong H-Theorem for Quantum Discrete-Time Markov Channels

F. Ticozzi, M. Pavon

Research output: Chapter in Book/Report/Conference proceedingChapter


The time reversal of a completely-positive, non-equilibrium 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.

Original languageEnglish (US)
Title of host publicationFrom Physics to Control through an Emergent View
PublisherWorld Scientific Publishing Co.
Number of pages6
ISBN (Electronic)9789814313155
ISBN (Print)9814313149, 9789814313148
StatePublished - Jan 1 2010


  • H-theorem
  • Space-time harmonic process
  • Time reversal

ASJC Scopus subject areas

  • General Physics and Astronomy


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