On Kadison‐Schwarz Type Quantum Quadratic Operators on 𝕄2(ℂ)

Farrukh Mukhamedov and Abduaziz Abduganiev

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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).

Date: 2013
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https://doi.org/10.1155/2013/278606

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:278606

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