On Kadison-Schwarz type quantum quadratic operators on M2(C)
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2013
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29958/ http://irep.iium.edu.my/29958/ http://irep.iium.edu.my/29958/ http://irep.iium.edu.my/29958/1/mfaa-AAA-2013.pdf |
| Summary: | 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). |
|---|