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Partially smoothed information measures. (arXiv:1807.05630v1 [quant-ph])
来源于:arXiv
Smooth entropies are a tool for quantifying resource trade-offs in (quantum)
information theory and cryptography. In typical bi- and multi-partite problems,
however, some of the sub-systems are often left unchanged and this is not
reflected by the standard smoothing of information measures over a ball of
close states. We propose to smooth instead only over a ball of close states
which also have some of the reduced states on the relevant sub-systems fixed.
This partial smoothing of information measures naturally allows to give more
refined characterizations of various information-theoretic problems in the
one-shot setting. In particular, we immediately get asymptotic second-order
characterizations for tasks such as privacy amplification against classical
side information or classical state splitting. For quantum problems like state
merging the general resource trade-off is tightly characterized by partially
smoothed information measures as well. However, for quantum systems we can so
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