A Continuity Theorem for Stinespring's Dilation

Details A Continuity Theorem for Stinespring's Dilation A Continuity Theorem for Stinespring's Dilation

2007-10-12

arxiv.org/abs/0710.2495v1

Physics

Quantum Physics

18 pages, no figures

Scientific paper

We show a continuity theorem for Stinespring's dilation: two completely positive maps between arbitrary C*-algebras are close in cb-norm iff we can find corresponding dilations that are close in operator norm. The proof establishes the equivalence of the cb-norm distance and the Bures distance for completely positive maps. We briefly discuss applications to quantum information theory.

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