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On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\) - MaRDI portal

On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\) (Q369850)

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scientific article; zbMATH DE number 6209245
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On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\)
scientific article; zbMATH DE number 6209245

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    On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\) (English)
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    19 September 2013
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    The authors study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from \(\mathbb M_2(\mathbb C)\) into \(\mathbb M_2(\mathbb C) \oplus \mathbb M_2 (\mathbb C)\). An example of q.q.o. is provided which is not a Kadison-Schwarz operator and its dynamics is studied. It is stressed that q.q.o. is a generalization of quantum convolution.
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    quadratic operators
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    quantum convolution
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    nonlinear operators
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