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Phys Rev E Stat Nonlin Soft Matter Phys. 2009 May;79(5 Pt 2):056704. Epub 2009 May 15.

Acceleration of quantum optimal control theory algorithms with mixing strategies.

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Institut für Theoretische Physik and European Theoretical Spectroscopy Facility, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany.


We propose the use of mixing strategies to accelerate the convergence of the common iterative algorithms utilized in quantum optimal control theory (QOCT). We show how the nonlinear equations of QOCT can be viewed as a "fixed-point" nonlinear problem. The iterative algorithms for this class of problems may benefit from mixing strategies, as it happens, e.g., in the quest for the ground-state density in Kohn-Sham density-functional theory. We demonstrate, with some numerical examples, how the same mixing schemes utilized in this latter nonlinear problem may significantly accelerate the QOCT iterative procedures.


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