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Izvestiya: Mathematics, 2016, Volume 80, Issue 6, Pages 1200–1212
DOI: https://doi.org/10.1070/IM8567 (Mi im8567) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On extrema of the objective functional for short-time generation of single-qubit quantum gates

A. N. Pechenab, N. B. Il'ina

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National University of Science and Technology «MISIS»
English version PDF (389 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM8567
Abstract: We study the extrema of the objective functional in the problem of generation of quantum gates (logical elements for quantum computations) for two-level systems with short duration of the control. We consider the problem of the existence of local but not global extrema, the so-called traps. The absence of traps was previously proved for a sufficiently long duration of the control. We prove that traps are absent for an arbitrarily small duration of the control for almost all target unitary operators and Hamiltonians. For the remaining target unitary operators and Hamiltonians we obtain a new lower bound for the duration of the control which guarantees the absence of traps.
Keywords: quantum control, qubit.
Received: 22.04.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 6, Pages 217–229
DOI: https://doi.org/10.4213/im8567
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
PACS: 03.65.−w, 02.30.Yy, 32.80.Qk
MSC: 81Q93, 46N50
Language: English
Original paper language: Russian
Citation: A. N. Pechen, N. B. Il'in, “On extrema of the objective functional for short-time generation of single-qubit quantum gates”, Izv. RAN. Ser. Mat., 80:6 (2016), 217–229; Izv. Math., 80:6 (2016), 1200–1212
Citation in format AMSBIB
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\paper On extrema of the objective functional for short-time generation of single-qubit quantum gates
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\pages 217--229
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:69
    English version PDF:15
    References:41
    First page:21
     
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