On kadison-schwarz type quantum quadratic operators on M2(C)

Farrukh Mukhamedov; Abduaziz Abduganiev

doi:10.1155/2013/278606

On kadison-schwarz type quantum quadratic operators on M2(C)

Farrukh Mukhamedov
, Abduaziz Abduganiev

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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).

Original language	English
Article number	278606
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/278606
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "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).",

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AB - 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).

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On kadison-schwarz type quantum quadratic operators on M2(C)

Abstract

ASJC Scopus subject areas

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