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A LONE code for the sparse control of quantum systems

Type of Publication: Journal article
Publication status: Published
Author: Ciaramella, Gabriele; Borzì, Alfio
Year of publication: 2016
Published in: Computer Physics Communications ; 200 (2016). - pp. 312-323. - ISSN 0010-4655. - eISSN 1879-2944
DOI (citable link): https://dx.doi.org/10.1016/j.cpc.2015.10.028
Summary:
In many applications with quantum spin systems, control functions with a sparse and pulse-shaped structure are often required. These controls can be obtained by solving quantum optimal control problems with L1-penalized cost functionals. In this paper, the MATLAB package LONE is presented aimed to solving L1-penalized optimal control problems governed by unitary-operator quantum spin models. This package implements a new strategy that includes a globalized semi-smooth Krylov–Newton scheme and a continuation procedure. Results of numerical experiments demonstrate the ability of the LONE code in computing accurate sparse optimal control solutions.
Subject (DDC): 510 Mathematics
Keywords: Quantum spin systems; Liouville–von Neumann master equation; Schrödinger equation; Nonsmooth optimization; Optimal control theory; Sparsity; Semi-smooth Newton scheme

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CIARAMELLA, Gabriele, Alfio BORZÌ, 2016. A LONE code for the sparse control of quantum systems. In: Computer Physics Communications. 200, pp. 312-323. ISSN 0010-4655. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2015.10.028

@article{Ciaramella2016-03spars-41208, title={A LONE code for the sparse control of quantum systems}, year={2016}, doi={10.1016/j.cpc.2015.10.028}, volume={200}, issn={0010-4655}, journal={Computer Physics Communications}, pages={312--323}, author={Ciaramella, Gabriele and Borzì, Alfio} }

A LONE code for the sparse control of quantum systems Borzì, Alfio 2016-03 2018-02-02T10:38:54Z Ciaramella, Gabriele eng Ciaramella, Gabriele Borzì, Alfio In many applications with quantum spin systems, control functions with a sparse and pulse-shaped structure are often required. These controls can be obtained by solving quantum optimal control problems with L<sup>1</sup>-penalized cost functionals. In this paper, the MATLAB package LONE is presented aimed to solving L<sup>1</sup>-penalized optimal control problems governed by unitary-operator quantum spin models. This package implements a new strategy that includes a globalized semi-smooth Krylov–Newton scheme and a continuation procedure. Results of numerical experiments demonstrate the ability of the LONE code in computing accurate sparse optimal control solutions. 2018-02-02T10:38:54Z

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