dorsal/arxiv
View SchemaA New Proof of the Direct Part of Stein's Lemma in Quantum Hypothesis Testing
| Authors | Tomohiro Ogawa, Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110125 |
| URL | https://arxiv.org/abs/quant-ph/0110125 |
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.
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"abstract": "The direct part of Stein\u0027s lemma in quantum hypothesis testing is revisited\nbased on a key operator inequality between a density operator and its pinching.\nThe operator inequality is used to show a simple proof of the direct part of\nStein\u0027s lemma without using Hiai-Petz\u0027s theorem, along with an operator\nmonotone function, and in addition it is also used to show a new proof of\nHiai-Petz\u0027s theorem.",
"arxiv_id": "quant-ph/0110125",
"authors": [
"Tomohiro Ogawa",
"Masahito Hayashi"
],
"categories": [
"quant-ph"
],
"title": "A New Proof of the Direct Part of Stein\u0027s Lemma in Quantum Hypothesis Testing",
"url": "https://arxiv.org/abs/quant-ph/0110125"
},
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