Published January 1, 2011
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On quantum quadratic operators of M-2(C) and their dynamics
- 1. Int Islamic Univ Malaysia, Fac Sci, Dept Computat & Theoret Sci, Kuantan 25710, Pahang, Malaysia
- 2. Zirve Univ, Fac Educ, Dept Math, TR-27260 Gaziantep, Turkey
- 3. Harran Univ, Arts & Sci Fac, Dept Math, TR-63120 Sanliurfa, Turkey
Description
In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2 x 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. (C) 2010 Elsevier Inc. All rights reserved.
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