A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory

Details A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory

2002-08-22

arxiv.org/abs/quant-ph/0208139v1

Physics

Quantum Physics

11 pages

Scientific paper

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.

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