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dc.description.sponsorshipGefördert durch den Publikationsfonds der Universität Kassel
dc.publisherSpringer Open
dc.titleHybrid optimization schemes for quantum controleng
dcterms.abstractOptimal control theory is a powerful tool for solving control problems in quantum mechanics, ranging from the control of chemical reactions to the implementation of gates in a quantum computer. Gradient-based optimization methods are able to find high fidelity controls, but require considerable numerical effort and often yield highly complex solutions. We propose here to employ a two-stage optimization scheme to significantly speed up convergence and achieve simpler controls. The control is initially parametrized using only a few free parameters, such that optimization in this pruned search space can be performed with a simplex method. The result, considered now simply as an arbitrary function on a time grid, is the starting point for further optimization with a gradient-based method that can quickly converge to high fidelities. We illustrate the success of this hybrid technique by optimizing a geometric phase gate for two superconducting transmon qubits coupled with a shared transmission line resonator, showing that a combination of Nelder-Mead simplex and Krotov’s method yields considerably better results than either one of the two methods alone.eng
dcterms.accessRightsopen access
dcterms.bibliographicCitationIn: EPJ quantum technology. - Berlin ; Heidelberg [u.a.] : Springer Open, 2015, 2, 21, 1-16
dcterms.creatorGoerz, Michael H.
dcterms.creatorWhaley, K. Birgitta
dcterms.creatorKoch, Christiane P.
dc.publisher.placeBerlin; Heidelberg [u.a.]
dcterms.source.journalEPJ quantum technology
dcterms.source.pageinfoS. 1-16

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