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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 140–153
DOI: https://doi.org/10.1134/S0371968514020101 (Mi tm3548) 		 
This article is cited in 6 scientific papers (total in 6 papers)

$p$-Adic model of quantum mechanics and quantum channels

E. I. Zelenov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (219 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968514020101
Abstract: A $p$-adic realization of the standard statistical model of quantum mechanics is constructed. Within this realization, a $p$-adic linear bosonic channel is defined, and its properties are analyzed. In particular, a criterion for the existence of a linear Gaussian bosonic channel is obtained, and its explicit construction is described. It is shown that the $p$-adic Gaussian bosonic channels possess an additivity property.
Received in February 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 132–144
DOI: https://doi.org/10.1134/S0081543814040105
Bibliographic databases:
Document Type: Article
UDC: 519.72+621.391+511.225
Language: Russian
Citation: E. I. Zelenov, “$p$-Adic model of quantum mechanics and quantum channels”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 140–153; Proc. Steklov Inst. Math., 285 (2014), 132–144
Citation in format AMSBIB
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\paper $p$-Adic model of quantum mechanics and quantum channels
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\serial Trudy Mat. Inst. Steklova
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\vol 285
\pages 140--153
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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