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 |
id |
iium-29958 |
---|---|
recordtype |
eprints |
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 |
_version_ |
1777409551872557056 |