Volume 75, Number 2, July 2006
|Page(s)||209 - 215|
|Published online||23 June 2006|
Stochastic unraveling of the time-evolution operator of open quantum systems
H.A.S. Research Institute for Solid State Physics and Optics H-1525 Budapest, P.O. Box 49, Hungary
2 H.A.S. Research Group for Nonlinear and Quantum Optics and Institute of Physics, University of Pécs Ifjúság út 6., H-7624 Pécs, Hungary
Accepted: 30 May 2006
The time-evolution operator of open quantum systems is determined generally via a stochastic operator sum representation. Quantum trajectories originating from any quantum trajectory method applicable to the system can be used for the construction. The result does apply to non-Markovian systems as well. The computational time reducement is in the order of the dimension of the Hilbert space compared to conventional quantum trajectory methods combined with algebraic reconstruction of the map. To demonstrate the efficiency of the method, the effects of decoherence are analysed for a C-NOT gate realized by two atoms in a cavity.
PACS: 03.67.Lx – Quantum computation / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 03.65.Yz – Decoherence; open systems; quantum statistical methods
© EDP Sciences, 2006
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