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An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses

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2 Author(s)
Nagaoka, H. ; Graduate Sch. of Inf. Syst., Univ. of Electro-Commun., Tokyo ; Hayashi, M.

The information-spectrum analysis made by Han for classical hypothesis testing for simple hypotheses is extended to a unifying framework including both classical and quantum hypothesis testing. The results are also applied to fixed-length source coding when loosening the normalizing condition for probability distributions and for quantum states. We establish general formulas for several quantities relating to the asymptotic optimality of tests/codes in terms of classical and quantum information spectra

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Information Theory, IEEE Transactions on  (Volume:53 ,  Issue: 2 )