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

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.

Authors:
; ; ; ;  [1];  [2];  [3];  [4];  [5]
  1. Department of Chemistry, Graduate School of Science, Tohoku University, Sendai 980-8578 (Japan)
  2. (Japan)
  3. (Germany)
  4. (France)
  5. (United States)
Publication Date:
OSTI Identifier:
20982355
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.033407; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; INTEGRO-DIFFERENTIAL EQUATIONS; MARKOV PROCESS; MATHEMATICAL SOLUTIONS; RELAXATION

Citation Formats

Ohtsuki, Yukiyoshi, Teranishi, Yoshiaki, Saalfrank, Peter, Turinici, Gabriel, Rabitz, Herschel, CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Institut fuer Chemie, Universitaet Potsdam, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm, CEREMADE, Universite Paris Dauphine, Place du Marechal De Lattre De Tassigny, 75775 Paris Cedex 16, and Department of Chemistry, Princeton University, Princeton, New Jersey 08544. Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.033407.
Ohtsuki, Yukiyoshi, Teranishi, Yoshiaki, Saalfrank, Peter, Turinici, Gabriel, Rabitz, Herschel, CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Institut fuer Chemie, Universitaet Potsdam, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm, CEREMADE, Universite Paris Dauphine, Place du Marechal De Lattre De Tassigny, 75775 Paris Cedex 16, & Department of Chemistry, Princeton University, Princeton, New Jersey 08544. Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion. United States. doi:10.1103/PHYSREVA.75.033407.
Ohtsuki, Yukiyoshi, Teranishi, Yoshiaki, Saalfrank, Peter, Turinici, Gabriel, Rabitz, Herschel, CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Institut fuer Chemie, Universitaet Potsdam, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm, CEREMADE, Universite Paris Dauphine, Place du Marechal De Lattre De Tassigny, 75775 Paris Cedex 16, and Department of Chemistry, Princeton University, Princeton, New Jersey 08544. Thu . "Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion". United States. doi:10.1103/PHYSREVA.75.033407.
@article{osti_20982355,
title = {Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion},
author = {Ohtsuki, Yukiyoshi and Teranishi, Yoshiaki and Saalfrank, Peter and Turinici, Gabriel and Rabitz, Herschel and CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012 and Institut fuer Chemie, Universitaet Potsdam, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm and CEREMADE, Universite Paris Dauphine, Place du Marechal De Lattre De Tassigny, 75775 Paris Cedex 16 and Department of Chemistry, Princeton University, Princeton, New Jersey 08544},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.75.033407},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
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