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Comparison of Noisy Channels and Reverse Data-Processing Theorems

2018/03/08 by Francesco Buscemi · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #cs.IT #math.IT #math.ST #quant-ph #stat.TH

paper · pdf · doi:10.1109/itw.2017.8278038

published as 2017 IEEE Information Theory Workshop (ITW), pp. 489-493 · 5 two-column pages, 3 figures; presented at 2017 IEEE Information Theory Workshop, Kaohsiung

arxiv created 2018/03/08 · arxiv updated 2018/03/09

Abstract

This paper considers the comparison of noisy channels from the viewpoint of statistical decision theory. Various orderings are discussed, all formalizing the idea that one channel is "better" than another for information transmission. The main result is an equivalence relation that is proved for classical channels, quantum channels with classical encoding, and quantum channels with quantum encoding.

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