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Izvestiya: Mathematics, 1995, Volume 59, Issue 2, Pages 427–443
DOI: https://doi.org/10.1070/IM1995v059n02ABEH000019 (Mi im19) 		 
This article is cited in 28 scientific papers (total in 28 papers)

On translation-covariant quantum Markov equations

A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (612 kB) Citations (28) Russian version article
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DOI: https://doi.org/10.1070/IM1995v059n02ABEH000019
Abstract: The structure of quantum Markov control equations with unbounded generators and covariant with respect to 1) irreducible representation of the Weyl CCR on $R^d$ and 2) representation of the group of $R^d$, is completely described via non-commutative Levy–Khinchin-type formulae. The existence and uniqueness of solutions for such equations is briefly discussed.
Received: 21.03.1994
Bibliographic databases:
Document Type: Article
MSC: 34F05
Language: English
Original paper language: Russian
Citation: A. S. Holevo, “On translation-covariant quantum Markov equations”, Izv. Math., 59:2 (1995), 427–443
Citation in format AMSBIB
\Bibitem{Hol95}
\by A.~S.~Holevo
\paper On translation-covariant quantum Markov equations
\jour Izv. Math.
\yr 1995
\vol 59
\issue 2
\pages 427--443
\mathnet{http://mi.mathnet.ru//eng/im19}
\crossref{https://doi.org/10.1070/IM1995v059n02ABEH000019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1337166}
\zmath{https://zbmath.org/?q=an:0901.60090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ88800010}
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  • https://www.mathnet.ru/eng/im/v59/i2/p205
    • This publication is cited in the following 28 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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