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Avtomatika i Telemekhanika, 2005, Issue 5, Pages 63–75 (Mi at1368)  
This article is cited in 16 scientific papers (total in 16 papers)

Deterministic Systems

Control of the observables in the finite-level quantum systems

M. S. Anan'evskiia, A. L. Fradkovb

a Saint-Petersburg State University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (320 kB) Citations (16)
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Abstract: A new approach to designing the velocity gradient-based algorithms to control the observables of the quantum-mechanical systems was proposed. The aim of control was shown to be feasible under the nondegeneracy-type conditions, provided that the initial and target values lie in the same energy layer. The error of attaining the aim of control was shown to be proportional to that of defining the initial system state and the error of realization of the control action. For the problem of controlling predissociation of the hydrogen fluoride molecule, numerical results were presented. Design of the proposed algorithms features simplicity.
Presented by the member of Editorial Board: B. T. Polyak

Received: 12.07.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 5, Pages 734–745
DOI: https://doi.org/10.1007/s10513-005-0117-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Anan'evskii, A. L. Fradkov, “Control of the observables in the finite-level quantum systems”, Avtomat. i Telemekh., 2005, no. 5, 63–75; Autom. Remote Control, 66:5 (2005), 734–745
Citation in format AMSBIB
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\by M.~S.~Anan'evskii, A.~L.~Fradkov
\paper Control of the observables in the finite-level quantum systems
\jour Avtomat. i Telemekh.
\yr 2005
\issue 5
\pages 63--75
\mathnet{http://mi.mathnet.ru/at1368}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2146754}
\zmath{https://zbmath.org/?q=an:1092.93016}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 5
\pages 734--745
\crossref{https://doi.org/10.1007/s10513-005-0117-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-18844413783}
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  • https://www.mathnet.ru/eng/at/y2005/i5/p63
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :113
    References:42
    First page:1
     
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