Optimal control for non-Markovian open quantum systems
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An efficient optimal-control theory based on the Krotov method is introduced for a non-Markovian open quantum system with a time-nonlocal master equation in which the control parameter and the bath correlation function are correlated. This optimal-control method is developed via a quantum dissipation formulation that transforms the time-nonlocal master equation to a set of coupled linear time-local equations of motion in an extended auxiliary Liouville space. As an illustration, the optimal-control method is applied to find the control sequences for high-fidelity Z gates and identity gates of a qubit embedded in a non-Markovian bath. Z gates and identity gates with errors less than 10^{-5} for a wide range of bath decoherence parameters can be achieved for the non-Markovian open qubit system with control over only the {\sigma}z term. The control-dissipation correlation and the memory effect of the bath are crucial in achieving the high-fidelity gates.
[1] V. Krotov,et al. Global methods in optimal control theory , 1993 .
[2] Physical Review , 1965, Nature.
[3] Jan Broeckhove,et al. Time-dependent quantum molecular dynamics , 1992 .
[4] R. Rosenfeld. Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.
[5] Francesco Petruccione,et al. The Theory of Open Quantum Systems , 2002 .