On Kadison-Schwarz Type Quantum Quadratic Operators on 𝕄2ℂ. (17th April 2013)

• Record Type: Journal Article
• Authors: Mukhamedov, Farrukh; Abduganiev, Abduaziz
• Other Names: Atakishiyev Natig M. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-04-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/278606
• Languages: English
• ISSNs: 1085-3375

Abstract

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