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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.
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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} }