Quantum Operation Time Reversal

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dc.creatorCrooks, Gavin E.
dc.date2007-06-26
dc.date.accessioned2026-07-07T09:29:31Z
dc.date.available2026-07-07T09:29:31Z
dc.descriptionThe dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators. Here, I exhibit a compact expression for the time reversal of a quantum operation, which is closely analogous to the time reversal of a classical Markov transition matrix. Since open quantum dynamics are stochastic, and not, in general, deterministic, the time reversal is not, in general, an inversion of the dynamics. Rather, the system relaxes towards equilibrium in both the forward and reverse time directions. The probability of a quantum trajectory and the conjugate, time reversed trajectory are related by the heat exchanged with the environment.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0706.3749
dc.identifierhttp://arxiv.org/abs/0706.3749
dc.identifierPhys. Rev. A 77 034101(4) (2008)
dc.identifierdoi:10.1103/PhysRevA.77.034101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157813
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleQuantum Operation Time Reversal
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