A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory
Quantum Physics
2007-05-23 v1
Abstract
A new proof of the direct part of the quantum channel coding theorem is shown based on a standpoint of quantum hypothesis testing. A packing procedure of mutually noncommutative operators is carried out to derive an upper bound on the error probability, which is similar to Feinstein's lemma in classical channel coding. The upper bound is used to show the proof of the direct part along with a variant of Hiai-Petz's theorem in quantum hypothesis testing.
Cite
@article{arxiv.quant-ph/0208139,
title = {A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory},
author = {Tomohiro Ogawa and Hiroshi Nagaoka},
journal= {arXiv preprint arXiv:quant-ph/0208139},
year = {2007}
}
Comments
11 pages