Formulation and numerical solution of finite-level quantum optimal control problems

Borzì, Alfio; Salomon, Julien; Volkwein, Stefan

Formulation and numerical solution of finite-level quantum optimal control problems

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2008

Autor:innen

Borzì, Alfio

Salomon, Julien

Volkwein, Stefan

DOI (zitierfähiger Link)

https://doi.org/10.1016/j.cam.2007.04.029

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of Computational and Applied Mathematics. 2008, 216(1), pp. 170-197. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/j.cam.2007.04.029

Zusammenfassung

Optimal control of finite-level quantum systems is investigated, and iterative solution schemes for the optimization of a control representing laser pulses are developed. The purpose of this external field is to channel the system's wavefunction between given states in its most efficient way. Physically motivated constraints, such as limited laser resources or population suppression of certain states, are accounted for through an appropriately chosen cost functional. First-order necessary optimality conditions and second-order sufficient optimality conditions are investigated. For solving the optimal control problems, a cascadic non-linear conjugate gradient scheme and a monotonic scheme are discussed. Results of numerical experiments with a representative finite-level quantum system demonstrate the effectiveness of the optimal control formulation and efficiency and robustness of the proposed approaches.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

BORZÌ, Alfio, Julien SALOMON, Stefan VOLKWEIN, 2008. Formulation and numerical solution of finite-level quantum optimal control problems. In: Journal of Computational and Applied Mathematics. 2008, 216(1), pp. 170-197. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/j.cam.2007.04.029

BibTex

@article{Borzi2008-06Formu-41168,
  year={2008},
  doi={10.1016/j.cam.2007.04.029},
  title={Formulation and numerical solution of finite-level quantum optimal control problems},
  number={1},
  volume={216},
  issn={0377-0427},
  journal={Journal of Computational and Applied Mathematics},
  pages={170--197},
  author={Borzì, Alfio and Salomon, Julien and Volkwein, Stefan}
}

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