On Kadison-Schwarz Type Quantum Quadratic Operators on ?2ℂ

Joint Authors

Abduganiev, Abduaziz
Mukhamedov, Farrukh

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-17

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

We study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from ?2ℂ into ?2(ℂ)⊗?2(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 ?2ℂ.

American Psychological Association (APA)

Mukhamedov, Farrukh& Abduganiev, Abduaziz. 2013. On Kadison-Schwarz Type Quantum Quadratic Operators on ?2ℂ. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-459750

Modern Language Association (MLA)

Mukhamedov, Farrukh& Abduganiev, Abduaziz. On Kadison-Schwarz Type Quantum Quadratic Operators on ?2ℂ. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-459750

American Medical Association (AMA)

Mukhamedov, Farrukh& Abduganiev, Abduaziz. On Kadison-Schwarz Type Quantum Quadratic Operators on ?2ℂ. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-459750

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-459750