Quantum Optimal Control Problems with a Sparsity Cost Functional

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Numerical Functional Analysis and Optimization. 2016, 37(8), pp. 938-965. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630563.2016.1184166
Zusammenfassung

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.

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Fachgebiet (DDC)
510 Mathematik
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Nonsmooth optimization, optimal control theory, quantum control problems, semi-smooth Newton method
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ISO 690CIARAMELLA, Gabriele, Alfio BORZÌ, 2016. Quantum Optimal Control Problems with a Sparsity Cost Functional. In: Numerical Functional Analysis and Optimization. 2016, 37(8), pp. 938-965. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630563.2016.1184166
BibTex
@article{Ciaramella2016-08-02Quant-41205,
  year={2016},
  doi={10.1080/01630563.2016.1184166},
  title={Quantum Optimal Control Problems with a Sparsity Cost Functional},
  number={8},
  volume={37},
  issn={0163-0563},
  journal={Numerical Functional Analysis and Optimization},
  pages={938--965},
  author={Ciaramella, Gabriele and Borzì, Alfio}
}
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