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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Main Authors: Mukhamedov, Farrukh, Abduganiev, Abduaziz
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
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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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Abduganiev, Abduaziz
On Kadison-Schwarz type quantum quadratic operators on M2(C)
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).
format Article
author Mukhamedov, Farrukh
Abduganiev, Abduaziz
author_facet Mukhamedov, Farrukh
Abduganiev, Abduaziz
author_sort Mukhamedov, Farrukh
title On Kadison-Schwarz type quantum quadratic operators on M2(C)
title_short 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_sort on kadison-schwarz type quantum quadratic operators on m2(c)
publisher Hindawi Publishing Corporation
publishDate 2013
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
first_indexed 2023-09-18T20:43:59Z
last_indexed 2023-09-18T20:43:59Z
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