Article ID Journal Published Year Pages File Type
6419564 Journal of Mathematical Analysis and Applications 2011 15 Pages PDF
Abstract

In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2×2 matrices M2(C). 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 Kadison-Schwarz operator. Then we study stability of dynamics of q.q.o.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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