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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 119–123
DOI: https://doi.org/10.1134/S0371968518020097 (Mi tm3900) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Conditions for the absence of local extrema in problems of quantum coherent control

N. B. Il'ina, A. N. Pechenab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b National University of Science and Technology MISiS, Leninskii pr. 4, Moscow, 119049 Russia
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DOI: https://doi.org/10.1134/S0371968518020097
Abstract: We consider a terminal control problem for quantum systems which is formulated as the problem of maximizing the objective functional at some fixed finite time. Within the framework of this problem, we discuss known results on the local maxima of the objective functional that are not global. This question is important for quantum control, since such local maxima could make it difficult to find the global maximum by local search in numerical optimization or under laboratory conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.669.2016/1.4
The work was performed as a part of the project no. 1.669.2016/1.4.
Received: September 18, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 109–113
DOI: https://doi.org/10.1134/S0081543818040090
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: N. B. Il'in, A. N. Pechen, “Conditions for the absence of local extrema in problems of quantum coherent control”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 119–123; Proc. Steklov Inst. Math., 301 (2018), 109–113
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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