Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 151, Pages 67–72 (Mi into341)  
Some Methods of Construction of Controls for Quantum Systems

A. N. Pechenab

a National University of Science and Technology «MISIS»
b Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: Recently, various control problems for quantum systems, such as individual atoms, molecules, electron states at quantum points, etc. have been actively researched. In this paper, we briefly discuss methods of construction of controls for quantum system by means of gradient algorithms, genetic algorithms, and the speed gradient. The violation of the asymptotic stabilizability condition for the problem of generation of unitary operations is proved by the speed gradient method in two-level quantum systems.
Keywords: quantum system control, quantum effects.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.669.2016/1.4
This work was supported by the Ministry of Education and Science of the Russian Federation (project No. 1.669.2016/1.4).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 1, Pages 65–71
DOI: https://doi.org/10.1007/s10958-020-05142-z
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
MSC: 81Q93
Language: Russian
Citation: A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, Quantum probability, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 67–72; J. Math. Sci. (N. Y.), 252:1 (2021), 65–71
Citation in format AMSBIB
\Bibitem{Pec18}
\by A.~N.~Pechen
\paper Some Methods of Construction of Controls for Quantum Systems
\inbook Quantum probability
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 151
\pages 67--72
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903366}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 1
\pages 65--71
\crossref{https://doi.org/10.1007/s10958-020-05142-z}
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