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• W2102077152 startingPage "1708" @default.
• W2102077152 abstract "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." @default.
• W2102077152 created "2016-06-24" @default.
• W2102077152 creator A5005834970 @default.
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• W2102077152 date "2008-04-01" @default.
• W2102077152 modified "2023-10-08" @default.
• W2102077152 title "The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation" @default.
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• W2102077152 doi "https://doi.org/10.1109/tit.2008.917696" @default.
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