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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2017, Volume 138, Pages 76–81 (Mi into215)  

Some mathematical problems of control of quantum systems

A. N. Pechenab

a National University of Science and Technology «MISIS»
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: Currently, quantum technologies are actively developing; these technologies are based on quantum effects in individual quantum systems—atoms or molecules. The mathematical study of problems of control of quantum systems is of particular importance. In this paper, we consider certain problems associated with control of quantum systems: extremums of target functionals for population transfer problems and generation of unitary processes and incoherent control and generation of arbitrary density matrices for open quantum systems.

Keywords: control of quantum systems, open quantum systems.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1.669.2016/ФПМ
This work was supported by the Ministry of Education and Science of the Russian Federation (project №1.669.2016/ FPM).


Full text: PDF file (186 kB)

Bibliographic databases:

Document Type: Article
UDC: 517.977.5
MSC: 81Q93

Citation: A. N. Pechen, “Some mathematical problems of control of quantum systems”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 76–81

Citation in format AMSBIB
\Bibitem{Pec17}
\by A.~N.~Pechen
\paper Some mathematical problems of control of quantum systems
\inbook Quantum computing
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 138
\pages 76--81
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into215}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3801252}


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