The index of a quantum dynamical semigroup
classification
funct-an
math.OA
keywords
indexsemigroupcompletelydilationpositivesemigroupsagreesdynamical
read the original abstract
A numerical index is introduced for semigroups of completely positive maps of $\Cal B(H)$ 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.