A New Proof of the Direct Part of Stein's Lemma in Quantum Hypothesis Testing
Quantum Physics
2007-05-23 v1
Abstract
The direct part of Stein's lemma in quantum hypothesis testing is revisited based on a key operator inequality between a density operator and its pinching. The operator inequality is used to show a simple proof of the direct part of Stein's lemma without using Hiai-Petz's theorem, along with an operator monotone function, and in addition it is also used to show a new proof of Hiai-Petz's theorem.
Keywords
Cite
@article{arxiv.quant-ph/0110125,
title = {A New Proof of the Direct Part of Stein's Lemma in Quantum Hypothesis Testing},
author = {Tomohiro Ogawa and Masahito Hayashi},
journal= {arXiv preprint arXiv:quant-ph/0110125},
year = {2007}
}
Comments
6 pages, submitted to ISIT2002