Geodesic
$p$-Adic model of quantum mechanics and quantum channels
Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 140-153.

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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. 
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     title = {$p${-Adic} model of quantum mechanics and quantum channels},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a9/}
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E. I. Zelenov. $p$-Adic model of quantum mechanics and quantum channels. Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 140-153. http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a9/

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