On quantum quadratic operators of M2(C) and their dynamics
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/1/mfhastaa-jmaa%282011%29.pdf |
| Summary: | 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. |
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