Details
| Original language | English |
|---|---|
| Pages (from-to) | 1889-1904 |
| Number of pages | 16 |
| Journal | J. Funct. Anal. |
| Volume | 255 |
| Issue number | 8 |
| Publication status | Published - 2008 |
Abstract
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In: J. Funct. Anal., Vol. 255, No. 8, 2008, p. 1889-1904.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A continuity theorem for Stinespring's dilation
AU - Kretschmann, Dennis
AU - Schlingemann, Dirk
AU - Werner, Reinhard F.
N1 - Funding information: We would like to thank Mauro D’Ariano and Vern Paulsen for fruitful and stimulating discussions. D.S. acknowledges financial support from Consorzio Nazionale Interuniversitario per le Scienze della Materia (CNISM). D.K. is grateful for generous support from Deutscher Akademischer Austauschdienst (DAAD).
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
U2 - 10.1016/j.jfa.2008.07.023
DO - 10.1016/j.jfa.2008.07.023
M3 - Article
VL - 255
SP - 1889
EP - 1904
JO - J. Funct. Anal.
JF - J. Funct. Anal.
SN - 1096-0783
IS - 8
ER -