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A LONE code for the sparse control of quantum systems

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2016

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Borzì, Alfio

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https://doi.org/10.1016/j.cpc.2015.10.028
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Computer Physics Communications. 2016, 200, pp. 312-323. ISSN 0010-4655. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2015.10.028

Zusammenfassung

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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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Quantum spin systems; Liouville–von Neumann master equation; Schrödinger equation; Nonsmooth optimization; Optimal control theory; Sparsity; Semi-smooth Newton scheme

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ISO 690CIARAMELLA, Gabriele, Alfio BORZÌ, 2016. A LONE code for the sparse control of quantum systems. In: Computer Physics Communications. 2016, 200, pp. 312-323. ISSN 0010-4655. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2015.10.028
BibTex
@article{Ciaramella2016-03spars-41208,
  year={2016},
  doi={10.1016/j.cpc.2015.10.028},
  title={A LONE code for the sparse control of quantum systems},
  volume={200},
  issn={0010-4655},
  journal={Computer Physics Communications},
  pages={312--323},
  author={Ciaramella, Gabriele and Borzì, Alfio}
}
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