Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1708-1717 |
| Seitenumfang | 10 |
| Fachzeitschrift | IEEE Trans. Inform. Theory |
| Jahrgang | 54 |
| Publikationsstatus | Veröffentlicht - 2008 |
Abstract
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in: IEEE Trans. Inform. Theory, Jahrgang 54, 2008, S. 1708-1717.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The information-disturbance tradeoff and the continuity of Stinespring's representation
AU - Kretschmann, Dennis
AU - Schlingemann, Dirk
AU - Werner, Reinhard F.
N1 - Funding information: Manuscript received June 4, 2006; revised July 18, 2007. The work of D. Kretschmann was supported by the European Union project RESQ and the German Academic Exchange Service (DAAD).
PY - 2008
Y1 - 2008
N2 - Stinespring's dilation theorem is the basic structure theorem for quantum channels: it states that any quantum channel arises from a unitary evolution on a larger system. Here we prove a continuity theorem for Stinespring's dilation: if two quantum channels are close in cb-norm, then it is always possible to find unitary implementations which are close in operator norm, with dimension-independent bounds. This result generalizes Uhlmann's theorem from states to channels and allows to derive a formulation of the information-disturbance tradeoff in terms of quantum channels, as well as a continuity estimate for the no-broadcasting theorem. We briefly discuss further implications for quantum cryptography, thermalization processes, and the black hole information loss puzzle.
AB - Stinespring's dilation theorem is the basic structure theorem for quantum channels: it states that any quantum channel arises from a unitary evolution on a larger system. Here we prove a continuity theorem for Stinespring's dilation: if two quantum channels are close in cb-norm, then it is always possible to find unitary implementations which are close in operator norm, with dimension-independent bounds. This result generalizes Uhlmann's theorem from states to channels and allows to derive a formulation of the information-disturbance tradeoff in terms of quantum channels, as well as a continuity estimate for the no-broadcasting theorem. We briefly discuss further implications for quantum cryptography, thermalization processes, and the black hole information loss puzzle.
U2 - 10.1109/TIT.2008.917696
DO - 10.1109/TIT.2008.917696
M3 - Article
VL - 54
SP - 1708
EP - 1717
JO - IEEE Trans. Inform. Theory
JF - IEEE Trans. Inform. Theory
ER -