A Continuity Theorem for Stinespring's Dilation

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dc.creatorKretschmann, Dennis
dc.creatorSchlingemann, Dirk
dc.creatorWerner, Reinhard F.
dc.date2007-10-12
dc.date.accessioned2026-07-07T08:36:00Z
dc.date.available2026-07-07T08:36:00Z
dc.descriptionWe 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.
dc.description18 pages, no figures
dc.identifierhttps://arxiv.org/abs/0710.2495
dc.identifierhttp://arxiv.org/abs/0710.2495
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139930
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.titleA Continuity Theorem for Stinespring's Dilation
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