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Artikel (Publikationen im Open Access gefördert durch die UB)
Hybrid optimization schemes for quantum control
Abstract
Optimal 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.
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Gefördert durch den Publikationsfonds der Universität KasselCollections
Publikationen (Theoretische Physik III - Quantendynamik und -kontrolle)Artikel (Publikationen im Open Access gefördert durch die UB)
Citation
@article{urn:nbn:de:hebis:34-2016011949686,
author={Goerz, Michael H. and Whaley, K. Birgitta and Koch, Christiane P.},
title={Hybrid optimization schemes for quantum control},
journal={EPJ quantum technology},
year={2015}
}
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<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2016-01-19T07:51:54Z 2016-01-19T07:51:54Z 2015 2015 2196-0763 urn:nbn:de:hebis:34-2016011949686 http://hdl.handle.net/123456789/2016011949686 Gefördert durch den Publikationsfonds der Universität Kassel eng Springer Open Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ 530 Hybrid optimization schemes for quantum control Aufsatz Optimal 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. open access In: EPJ quantum technology. - Berlin ; Heidelberg [u.a.] : Springer Open, 2015, 2, 21, 1-16 Goerz, Michael H. Whaley, K. Birgitta Koch, Christiane P. Berlin; Heidelberg [u.a.] doi:10.1140/epjqt/s40507-015-0034-0 21 EPJ quantum technology S. 1-16 2 </resource>
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