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SKRYN : A fast semismooth-Krylov–Newton method for controlling Ising spin systems

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2015

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Borzì, Alfio

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https://doi.org/10.1016/j.cpc.2015.01.006
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Computer Physics Communications. 2015, 190, pp. 213-223. ISSN 0010-4655. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2015.01.006

Zusammenfassung

The modeling and control of Ising spin systems is of fundamental importance in NMR spectroscopy applications. In this paper, two computer packages, ReHaG and SKRYN, are presented. Their purpose is to set-up and solve quantum optimal control problems governed by the Liouville master equation modeling Ising spin- 1/2 systems with pointwise control constraints. In particular, the MATLAB package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB package SKRYN implements a new strategy resulting in a globalized semismooth matrix-free Krylov–Newton scheme. To discretize the real representation of the Liouville master equation, a norm-preserving modified Crank–Nicolson scheme is used. Results of numerical experiments demonstrate that the SKRYN code is able to provide fast and accurate solutions to the Ising spin quantum optimization problem.

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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Quantum systems; Optimal control theory; Optimality conditions; Semismooth Newton scheme; Pointwise control constraint

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ISO 690CIARAMELLA, Gabriele, Alfio BORZÌ, 2015. SKRYN : A fast semismooth-Krylov–Newton method for controlling Ising spin systems. In: Computer Physics Communications. 2015, 190, pp. 213-223. ISSN 0010-4655. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2015.01.006
BibTex
@article{Ciaramella2015-05SKRYN-41207,
  year={2015},
  doi={10.1016/j.cpc.2015.01.006},
  title={SKRYN : A fast semismooth-Krylov–Newton method for controlling Ising spin systems},
  volume={190},
  issn={0010-4655},
  journal={Computer Physics Communications},
  pages={213--223},
  author={Ciaramella, Gabriele and Borzì, Alfio}
}
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