# 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:

- Department of Chemistry, Graduate School of Science, Tohoku University, Sendai 980-8578 (Japan)
- (Japan)
- (Germany)
- (France)
- (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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