Mukhamedov, Farrukh and Abduganiev, Abduaziz (2011) On Kadison-Schwarz property of quantum quadratic operators on M2(C). In: Quantum Bio-Informatics IV. QP-PQ: Quantum Probability and White Noise Analysis, 28 . World Scientific, Singapore, pp. 255-265. ISBN 13 978-981-4343-75-6
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Abstract
In the present paper we first describe quantum quadratic operators (q.q.o) acting on the algebra of 2 x 2 matrices M2(C). Moreover, we provide necessary conditions for q.q.o. with Haar to satisfy Kadison-Schwarz condition. By means of such a description we give an example of q.q.o. which is not the Kadision-Schwarz operator.
| Item Type: | Book Chapter |
|---|---|
| Additional Information: | 5537/12126 |
| Uncontrolled Keywords: | quantum quadratic operators; Kadison-Schwartz operator. |
| 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: | 10 Jan 2012 15:52 |
| Last Modified: | 10 Jan 2012 15:52 |
| URI: | http://irep.iium.edu.my/id/eprint/12126 |
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