On Kadison-Schwarz type quantum quadratic operators on M2(C)

Mukhamedov, Farrukh and Abduganiev, Abduaziz (2013) On Kadison-Schwarz type quantum quadratic operators on M2(C). Abstract and Applied Analysis, 2013. pp. 1-9. ISSN 1085-3375 E-ISSN 1687-0409

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Abstract

We study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from M2 (C) into M2 (C) ⊗ M2 (C). Note that such kind of operators is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is not a Kadison-Schwartz operator. Moreover, we study dynamics of an associated nonlinear (i.e., quadratic) operators acting on the state space of M2 (C).

Item Type:	Article (Journal)
Additional Information:	5537/29958
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	22 Apr 2013 13:11
Last Modified:	23 Dec 2016 11:46
URI:	http://irep.iium.edu.my/id/eprint/29958

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