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arXiv · 1706.04866

On singular perturbations of quantum dynamical semigroups

A. S. Holevo
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Abstract

We consider two examples of dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [10]. In the section 2 we propose a generalization of an example from [1] aimed to give a positive answer to a conjecture of Arveson. In the section 3 we consider in greater detail an improved and simplified construction of a nonstandard dynamical semigroup outlined in our short communication [13].

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A. S. Holevo. 2017-06-15. On singular perturbations of quantum dynamical semigroups. https://doi.org/10.1134/s0001434618010157

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