The index of a quantum dynamical semigroup

Details The index of a quantum dynamical semigroup The index of a quantum dynamical semigroup

1997-05-25

arxiv.org/abs/funct-an/9705005v1

Mathematics

Operator Algebras

26 pp. AMS-TeX 2.0

Scientific paper

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.

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