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arXiv · 2203.00341

Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups

Melchior Wirth
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Abstract

In this note we prove a refined version of the Christensen-Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem.

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Melchior Wirth. 2022-03-01. Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. https://arxiv.org/abs/2203.00341

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