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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 3, Pages 445–451
DOI: https://doi.org/10.4213/tmf9346 (Mi tmf9346) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

N. B. Il'ina, A. N. Pechen'ab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b MISIS National University of Science and Technology, Moscow, Russia
Full-text PDF (410 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9346
Abstract: We consider the problem of maximizing the transition probability in an $n$-level quantum system from a given initial state to a given final state using nonselective quantum measurements. We find a sequence of measurements that is a critical point of the transition probability and, moreover, a local maximum in each variable on the set of one-dimensional projectors. We consider the class of one-dimensional projectors because these projectors describe the measurements of populations of pure states of the system.
Keywords: multilevel quantum system, open quantum system, quantum measurement, quantum system control.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.669.2016/ФПМ
This research was performed in terms of Project No. 1.669.2016/FPM.
Received: 31.01.2017
Revised: 09.08.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 3, Pages 384–389
DOI: https://doi.org/10.1134/S0040577918030066
Bibliographic databases:
Document Type: Article
PACS: 03.65.Xp
MSC: 81Q93
Language: Russian
Citation: N. B. Il'in, A. N. Pechen', “Critical point in the problem of maximizing the transition probability using measurements in an $n$-level quantum system”, TMF, 194:3 (2018), 445–451; Theoret. and Math. Phys., 194:3 (2018), 384–389
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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