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...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://irep.iium.edu.my/29958/ http://irep.iium.edu.my/29958/1/mfaa-AAA-2013.pdf |
| _version_ | 1848780216036491264 |
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| author | Mukhamedov, Farrukh Abduganiev, Abduaziz |
| author_facet | Mukhamedov, Farrukh Abduganiev, Abduaziz |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | 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). |
| first_indexed | 2025-11-14T15:30:08Z |
| format | Article |
| id | iium-29958 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:30:08Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-299582016-12-23T03:46:51Z http://irep.iium.edu.my/29958/ On Kadison-Schwarz type quantum quadratic operators on M2(C) Mukhamedov, Farrukh Abduganiev, Abduaziz QA Mathematics 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). Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29958/1/mfaa-AAA-2013.pdf 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 http://dx.doi.org/10.1155/2013/278606 doi:10.1155/2013/278606 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Abduganiev, Abduaziz On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title | On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title_full | On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title_fullStr | On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title_full_unstemmed | On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title_short | On Kadison-Schwarz type quantum quadratic operators on M2(C) |
| title_sort | on kadison-schwarz type quantum quadratic operators on m2(c) |
| topic | QA Mathematics |
| url | 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 |