A Continuity Theorem for Stinespring's Dilation

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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.
18 pages, no figures

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Quantum Physics, Mathematical Physics, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/139930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2495
 http://arxiv.org/abs/0710.2495

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arXiv