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, 2017, Volume 138, Pages 50–59 (Mi into213)  
Discrete approximations of dynamical quantum Zeno effect

N. B. Il'ina, A. N. Pechenba

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National University of Science and Technology «MISIS»
Full-text PDF (340 kB)
Abstract: In this paper, we discuss approximations of the dynamical quantum Zeno effect by a fixed number of nonselective quantum measurements. A wide class of measurements whose efficiency is close to optimal in the case of two-level systems is found.
Keywords: quantum Zeno effect, quantum control theory, quantum measurements, two-level system, qubit.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.669.2016/ФПМ
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.669.2016/FPM).
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 2, Pages 158–167
DOI: https://doi.org/10.1007/s10958-019-04414-7
Bibliographic databases:
Document Type: Article
UDC: 530.145, 517.977
MSC: 49K15, 81V80
Language: Russian
Citation: N. B. Il'in, A. N. Pechen, “Discrete approximations of dynamical quantum Zeno effect”, Quantum computing, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 50–59; Journal of Mathematical Sciences, 241:2 (2019), 158–167
Citation in format AMSBIB
\Bibitem{IliPec17}
\by N.~B.~Il'in, A.~N.~Pechen
\paper Discrete approximations of dynamical quantum Zeno effect
\inbook Quantum computing
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 138
\pages 50--59
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into213}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801250}
\zmath{https://zbmath.org/?q=an:1426.81005}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 2
\pages 158--167
\crossref{https://doi.org/10.1007/s10958-019-04414-7}
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