p-Adic model of quantum mechanics and quantum channels
E. I. ZelenovSteklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
2014en
ABI
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.
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