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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 289, Pages 227–234
DOI: https://doi.org/10.1134/S0371968515020132 (Mi tm3623) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times

A. N. Pechen, N. B. Il'in

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (186 kB) Citations (13)
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DOI: https://doi.org/10.1134/S0371968515020132
Abstract: We consider the Mayer maximization problem for an objective functional that describes the average value at some fixed time of a quantum-mechanical observable for a two-level quantum system (qubit). In the previous studies we proved that for sufficiently large times the objective functional has no local maxima that are not global maxima. Such local maxima that are not global are called traps. In this paper we prove that for sufficiently short times under certain conditions traps for this problem do exist.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: February 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 289, Pages 213–220
DOI: https://doi.org/10.1134/S0081543815040136
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: A. N. Pechen, N. B. Il'in, “Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times”, Selected issues of mathematics and mechanics, Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov, Trudy Mat. Inst. Steklova, 289, MAIK Nauka/Interperiodica, Moscow, 2015, 227–234; Proc. Steklov Inst. Math., 289 (2015), 213–220
Citation in format AMSBIB
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\by A.~N.~Pechen, N.~B.~Il'in
\paper Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 289
\pages 227--234
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968515020132}
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    • This publication is cited in the following 13 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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