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Open Quantum Systems Decoherence
Quantum Operation Time Reversal
arXiv
Authors: Gavin E. Crooks
Year
2007
Paper ID
49855
Status
Preprint
Abstract Read
~2 min
Abstract Words
107
Citations
N/A
Abstract
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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- The dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators.
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