Title of article
A continuity theorem for Stinespring’s dilation
Author/Authors
Dennis Kretschmann، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
16
From page
1889
To page
1904
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.
© 2008 Elsevier Inc. All rights reserved
Keywords
Stinespring representation , Bures distance , Completelybounded norms , Completely positive maps , Dilation theorems , Quantum information theory
Journal title
Journal of Functional Analysis
Serial Year
2008
Journal title
Journal of Functional Analysis
Record number
839719
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