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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 248–255
DOI: https://doi.org/10.1134/S0371968516030158
(Mi tm3738)
 

This article is cited in 8 scientific papers (total in 8 papers)

On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements

Alexander N. Pechen, Nikolay B. Il'in

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (190 kB) Citations (8)
References:
Abstract: We consider the problem of maximizing the probability of transition from a given initial state to a given final state for an $n$-level quantum system using nonselective quantum measurements. We find an estimate from below for the maximum of the transition probability for any fixed number of measurements and find the measured observables on which this estimate is attained.
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: March 25, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 233–240
DOI: https://doi.org/10.1134/S0081543816060158
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: Alexander N. Pechen, Nikolay B. Il'in, “On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 248–255; Proc. Steklov Inst. Math., 294 (2016), 233–240
Citation in format AMSBIB
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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