2011
DOI: 10.1016/j.jmaa.2010.10.047
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On quantum quadratic operators of M2(C) and their dynamics

Abstract: In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2 × 2 matrices M 2 (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.

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Cited by 11 publications
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