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

الملخص 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.