Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592646 | Journal of Functional Analysis | 2008 | 16 Pages |
Abstract
We show a continuity theorem for Stinespring's dilation: two completely positive maps between arbitrary C∗-algebras are close in cb-norm if and only if 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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