Task-dependent control of open quantum systems
arXiv:1111.2847 · doi:10.1103/PhysRevA.85.052105
Abstract
We develop a general optimization strategy for performing a chosen unitary or non-unitary task on an open quantum system. The goal is to design a controlled time-dependent system Hamiltonian by variationally minimizing or maximizing a chosen function of the system state, which quantifies the task success (score), such as fidelity, purity, or entanglement. If the time-dependence of the system Hamiltonian is fast enough to be comparable or shorter than the response-time of the bath, then the resulting non-Markovian dynamics is shown to optimize the chosen task score to second order in the coupling to the bath. This strategy can protect a desired unitary system evolution from bath-induced decoherence, but ca also take advantage of the system-bath coupling so as to realize a desired non-unitary effect on the system.
9 pages, 7 figures, presented at DPG Spring Meeting, Dresden, 2011
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