The index of a quantum dynamical semigroup
funct-an
2008-02-03 v1 Operator Algebras
Abstract
A numerical index is introduced for semigroups of completely positive maps of which generalizes the index of E_0-semigroups. It is shown that the index of a unital completely positive semigroup agrees with the index of its dilation to an E_0-semigroup, provided that the dilation is minimal.
Cite
@article{arxiv.funct-an/9705005,
title = {The index of a quantum dynamical semigroup},
author = {William Arveson},
journal= {arXiv preprint arXiv:funct-an/9705005},
year = {2008}
}
Comments
26 pp. AMS-TeX 2.0