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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 360–370
DOI: https://doi.org/10.4213/tmf6051 (Mi tmf6051) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Complex projections of completely positive quaternionic maps

M. Asoreya, G. Scolaricib, L. Solombrinob

a University of Zaragoza
b Lecce University
Full-text PDF (402 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6051
Abstract: We show that the complex projection of a completely positive quaternionic map of quaternionic density matrices is a positive map in the space of complex density matrices, and we briefly outline some of its properties. To illustrate this result, we study the complex projection of a one-parameter quaternionic unitary dynamics of a spin-$1/2$ quantum system.
Keywords: open quantum system, positive map, quaternion.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 735–743
DOI: https://doi.org/10.1007/s11232-007-0059-3
Bibliographic databases:
Language: Russian
Citation: M. Asorey, G. Scolarici, L. Solombrino, “Complex projections of completely positive quaternionic maps”, TMF, 151:3 (2007), 360–370; Theoret. and Math. Phys., 151:3 (2007), 735–743
Citation in format AMSBIB
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\paper Complex projections of completely positive quaternionic maps
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  • https://www.mathnet.ru/eng/tmf6051
  • https://doi.org/10.4213/tmf6051
  • https://www.mathnet.ru/eng/tmf/v151/i3/p360
    • This publication is cited in the following 5 articles:
    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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    References:52
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