A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator

Wusheng Zhu; Herschel Rabitz

doi:10.1063/1.476575

A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator

Wusheng Zhu, Herschel Rabitz

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

287 Scopus citations

Abstract

A new iteration method is presented for achieving quantum optimal control over the expectation value of a positive definite operator. Theoretical analysis shows that this new algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this new algorithm, within a few steps, the optimized objective functional comes close to its converged limit.

Original language	English (US)
Pages (from-to)	385-391
Number of pages	7
Journal	Journal of Chemical Physics
Volume	109
Issue number	2
DOIs	https://doi.org/10.1063/1.476575
State	Published - 1998

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

Access to Document

10.1063/1.476575

Cite this

@article{db42b2bd8fb849d3aefc7fabf382baf1,

title = "A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator",

abstract = "A new iteration method is presented for achieving quantum optimal control over the expectation value of a positive definite operator. Theoretical analysis shows that this new algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this new algorithm, within a few steps, the optimized objective functional comes close to its converged limit.",

author = "Wusheng Zhu and Herschel Rabitz",

year = "1998",

doi = "10.1063/1.476575",

language = "English (US)",

volume = "109",

pages = "385--391",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "2",

}

TY - JOUR

T1 - A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator

AU - Zhu, Wusheng

AU - Rabitz, Herschel

PY - 1998

Y1 - 1998

N2 - A new iteration method is presented for achieving quantum optimal control over the expectation value of a positive definite operator. Theoretical analysis shows that this new algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this new algorithm, within a few steps, the optimized objective functional comes close to its converged limit.

AB - A new iteration method is presented for achieving quantum optimal control over the expectation value of a positive definite operator. Theoretical analysis shows that this new algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this new algorithm, within a few steps, the optimized objective functional comes close to its converged limit.

UR - https://www.scopus.com/pages/publications/0001365860

UR - https://www.scopus.com/inward/citedby.url?scp=0001365860&partnerID=8YFLogxK

U2 - 10.1063/1.476575

DO - 10.1063/1.476575

M3 - Article

AN - SCOPUS:0001365860

SN - 0021-9606

VL - 109

SP - 385

EP - 391

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 2

ER -

A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this