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

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

2002-06-27

arxiv.org/abs/quant-ph/0206185v2

IEEE Transactions on Information Theory, vol.53, 534-549 (2007)

Physics

Quantum Physics

1 figure

Scientific paper

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 as well as fixed-length source coding, whereby general formulas for several quantities concerning the asymptotic optimality of tests/codes are established in terms of classical and quantum information spectrum. Generality of theorems and simplicity of proofs are fully pursued, and as byproducts some improvements on the original classical results are also obtained.

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