On quantum quadratic operators of $\bm_2(\mathbb{C})$ and their dynamics
Functional Analysis
2010-11-11 v4 Dynamical Systems
Abstract
In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o) acting on the algebra of matrices \bm_2(\bc). First, we describe q.q.o. with Haar state as well as quadratic operators with the Kadison-Schwarz property. By means of such a description we provide an example of q.q.o. which is not the Kadision-Schwarz operator. Then we study stability of dynamics of q.q.o.
Cite
@article{arxiv.0902.4500,
title = {On quantum quadratic operators of $\bm_2(\mathbb{C})$ and their dynamics},
author = {Farrukh Mukhamedov and Hasan Akin and Seyit Temir and Abduaziz Abduganiev},
journal= {arXiv preprint arXiv:0902.4500},
year = {2010}
}
Comments
16 pages