On Kadison-Schwarz type quantum quadratic operators on $\bm_2(\mathbb{C})$
Functional Analysis
2013-04-23 v2 Dynamical Systems
Abstract
In the present paper we study description of Kadison-Schwarz type quantum quadratic operators acting from \bm_2(\mathbb{C}) into \bm_2(\mathbb{C})\o\bm_2(\mathbb{C}). Note that such kind of operator is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is not a Kadision-Schwartz operator. Moreover, we study dynamics of an associated nonlinear (i.e. quadratic) operators acting on the state space of \bm_2(\mathbb{C}).
Keywords
Cite
@article{arxiv.1211.3511,
title = {On Kadison-Schwarz type quantum quadratic operators on $\bm_2(\mathbb{C})$},
author = {Farrukh Mukhamedov and Abduaziz Abduganiev},
journal= {arXiv preprint arXiv:1211.3511},
year = {2013}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:0902.4500