Quantum Optimal Control Problems with a Sparsity Cost Functional

Type of Publication: Journal article
Publication status: Published
Author: Ciaramella, Gabriele; Borzì, Alfio
Year of publication: 2016
Published in: Numerical Functional Analysis and Optimization ; 37 (2016), 8. - pp. 938-965. - ISSN 0163-0563. - eISSN 1532-2467
DOI (citable link): https://dx.doi.org/10.1080/01630563.2016.1184166
Summary:
In this article, the investigation of a class of quantum optimal control problems with L1 sparsity cost functionals is presented. The focus is on quantum systems modeled by Schrödinger-type equations with a bilinear control structure as it appears in many applications in nuclear magnetic resonance spectroscopy, quantum imaging, quantum computing, and in chemical and photochemical processes. In these problems, the choice of L1 control spaces promotes sparse optimal control functions that are conveniently produced by laboratory pulse shapers. The characterization of L1 quantum optimal controls and an efficient numerical semi-smooth Newton solution procedure are discussed.
Subject (DDC): 510 Mathematics
Keywords: Nonsmooth optimization, optimal control theory, quantum control problems, semi-smooth Newton method

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CIARAMELLA, Gabriele, Alfio BORZÌ, 2016. Quantum Optimal Control Problems with a Sparsity Cost Functional. In: Numerical Functional Analysis and Optimization. 37(8), pp. 938-965. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630563.2016.1184166

@article{Ciaramella2016-08-02Quant-41205, title={Quantum Optimal Control Problems with a Sparsity Cost Functional}, year={2016}, doi={10.1080/01630563.2016.1184166}, number={8}, volume={37}, issn={0163-0563}, journal={Numerical Functional Analysis and Optimization}, pages={938--965}, author={Ciaramella, Gabriele and Borzì, Alfio} }

eng Borzì, Alfio In this article, the investigation of a class of quantum optimal control problems with L1 sparsity cost functionals is presented. The focus is on quantum systems modeled by Schrödinger-type equations with a bilinear control structure as it appears in many applications in nuclear magnetic resonance spectroscopy, quantum imaging, quantum computing, and in chemical and photochemical processes. In these problems, the choice of L1 control spaces promotes sparse optimal control functions that are conveniently produced by laboratory pulse shapers. The characterization of L<sup>1</sup> quantum optimal controls and an efficient numerical semi-smooth Newton solution procedure are discussed. Quantum Optimal Control Problems with a Sparsity Cost Functional Ciaramella, Gabriele 2018-02-02T10:31:47Z 2016-08-02 Ciaramella, Gabriele Borzì, Alfio 2018-02-02T10:31:47Z

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