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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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  • https://doi.org/10.4213/tmf9346
  • https://www.mathnet.ru/eng/tmf/v194/i3/p445
    • This publication is cited in the following 3 articles:
    1. D. A. Kronberg, “Modification of quantum measurements by mapping onto quantum states and classical outcomes”, Lobachevskii J. Math., 43:7 (2022), 1663–1668  mathnet  crossref  mathscinet
    2. G. G. Amosov, “On quantum channels generated by covariant positive operator-valued measures on a locally compact group”, Quantum Inf. Process., 21 (2022), 312–10  mathnet  crossref  mathscinet
    3. A. N. Pechen, O. V. Morzhin, “Generation of Density Matrices For Two Qubits Using Coherent and Incoherent Controls”, Lobachevskii J. Math., 42:10, SI (2021), 2401–2412  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:585
    Full-text PDF :95
    References:56
    First page:16
     
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