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

Yukiyoshi Ohtsuki; Yoshiaki Teranishi; Peter Saalfrank; Gabriel Turinici; Herschel Rabitz

doi:10.1103/PhysRevA.75.033407

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

Yukiyoshi Ohtsuki, Yoshiaki Teranishi, Peter Saalfrank, Gabriel Turinici, Herschel Rabitz

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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.

Original language	English (US)
Article number	033407
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	75
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.75.033407
State	Published - Mar 19 2007

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Access to Document

10.1103/PhysRevA.75.033407

Cite this

@article{3bc3c1e4192e45ddbed1e42f5ba204b1,

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.",

author = "Yukiyoshi Ohtsuki and Yoshiaki Teranishi and Peter Saalfrank and Gabriel Turinici and Herschel Rabitz",

year = "2007",

month = mar,

day = "19",

doi = "10.1103/PhysRevA.75.033407",

language = "English (US)",

volume = "75",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "3",

}

Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion. / Ohtsuki, Yukiyoshi; Teranishi, Yoshiaki; Saalfrank, Peter et al.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 75, No. 3, 033407, 19.03.2007.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion

AU - Ohtsuki, Yukiyoshi

AU - Teranishi, Yoshiaki

AU - Saalfrank, Peter

AU - Turinici, Gabriel

AU - Rabitz, Herschel

PY - 2007/3/19

Y1 - 2007/3/19

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/33947533328

UR - https://www.scopus.com/inward/citedby.url?scp=33947533328&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.75.033407

DO - 10.1103/PhysRevA.75.033407

M3 - Article

AN - SCOPUS:33947533328

SN - 1050-2947

VL - 75

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

M1 - 033407

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this