説明
The hypothesis testing problem of two quantum states is treated. We show a new inequality between the error of the first kind and the second kind, which complements the result of Hiai and Petz to establish the quantum version of Stein's lemma. The inequality is also used to show a bound on the first kind error when the power exponent for the second kind error exceeds the quantum relative entropy, and the bound yields the strong converse in the quantum hypothesis testing. Finally, we discuss the relation between the bound and the power exponent derived by Han and Kobayashi in the classical hypothesis testing.
LaTeX, 12 pages, submitted to IEEE Trans. Inform. Theory
収録刊行物
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- IEEE Transactions on Information Theory
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IEEE Transactions on Information Theory 46 (7), 2428-2433, 2000
Institute of Electrical and Electronics Engineers (IEEE)
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詳細情報 詳細情報について
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- CRID
- 1360855569628505088
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- NII論文ID
- 30019653162
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- ISSN
- 00189448
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- データソース種別
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