Quantum Operation Time Reversal

Details Quantum Operation Time Reversal Quantum Operation Time Reversal

2007-06-26

arxiv.org/abs/0706.3749v1

Phys. Rev. A 77 034101(4) (2008)

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevA.77.034101

The 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.

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