Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion

Yukiyoshi Ohtsuki, Yoshiaki Teranishi, Peter Saalfrank, Gabriel Turinici, and Herschel Rabitz
Phys. Rev. A 75, 033407 – Published 19 March 2007

Abstract

A family of monotonically convergent algorithms is presented for solving a wide class of quantum optimal control problems satisfying an inhomogeneous integrodifferential equation of motion. The convergence behavior is examined using a four-level model system under the influence of non-Markovian relaxation. The results show that high quality solutions can be obtained over a wide range of parameters that characterize the algorithms, independent of the presence or absence of relaxation.

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  • Received 6 January 2007

DOI:https://doi.org/10.1103/PhysRevA.75.033407

©2007 American Physical Society

Authors & Affiliations

Yukiyoshi Ohtsuki* and Yoshiaki Teranishi

  • Department of Chemistry, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan and CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan

Peter Saalfrank

  • Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm, Germany

Gabriel Turinici

  • CEREMADE, Universite Paris Dauphine, Place du Marechal De Lattre De Tassigny, 75775 Paris Cedex 16, France

Herschel Rabitz

  • Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA

  • *Electronic address: y-ohtsuki@mail.tains.tohoku.ac.jp

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Issue

Vol. 75, Iss. 3 — March 2007

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