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

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  • Farrukh Mukhamedov
  • Abduaziz Abduganiev

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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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:278606
DOI: 10.1155/2013/278606
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