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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2014_285_a9,
     author = {E. I. Zelenov},
     title = {$p${-Adic} model of quantum mechanics and quantum channels},
     journal = {Informatics and Automation},
     pages = {140--153},
     publisher = {mathdoc},
     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a9/}
}
TY  - JOUR
AU  - E. I. Zelenov
TI  - $p$-Adic model of quantum mechanics and quantum channels
JO  - Informatics and Automation
PY  - 2014
SP  - 140
EP  - 153
VL  - 285
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a9/
LA  - ru
ID  - TRSPY_2014_285_a9
ER  - 
%0 Journal Article
%A E. I. Zelenov
%T $p$-Adic model of quantum mechanics and quantum channels
%J Informatics and Automation
%D 2014
%P 140-153
%V 285
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a9/
%G ru
%F TRSPY_2014_285_a9
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/