dorsal/arxiv
View SchemaOn Error Exponents in Quantum Hypothesis Testing
| Authors | Tomohiro Ogawa, Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206151 |
| URL | https://arxiv.org/abs/quant-ph/0206151 |
Abstract
In the simple quantum hypothesis testing problem, upper bounds on the error probabilities are shown based on a key operator inequality between a density operator and its pinching. Concerning the error exponents, the upper bounds lead to a noncommutative analogue of the Hoeffding bound, which is identical with the classical counter part if the hypotheses, composed of two density operators, are mutually commutative. The upper bounds also provide a simple proof of the direct part of the quantum Stein's lemma.
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"abstract": "In the simple quantum hypothesis testing problem, upper bounds on the error\nprobabilities are shown based on a key operator inequality between a density\noperator and its pinching. Concerning the error exponents, the upper bounds\nlead to a noncommutative analogue of the Hoeffding bound, which is identical\nwith the classical counter part if the hypotheses, composed of two density\noperators, are mutually commutative. The upper bounds also provide a simple\nproof of the direct part of the quantum Stein\u0027s lemma.",
"arxiv_id": "quant-ph/0206151",
"authors": [
"Tomohiro Ogawa",
"Masahito Hayashi"
],
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"title": "On Error Exponents in Quantum Hypothesis Testing",
"url": "https://arxiv.org/abs/quant-ph/0206151"
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