Title :
An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
Author :
Nagaoka, Hiroshi ; Hayashi, Masahito
Author_Institution :
Graduate Sch. of Inf. Syst., Univ. of Electro-Commun., Tokyo
Abstract :
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
Keywords :
probability; quantum communication; source coding; spectral analysis; classical hypothesis testing; fixed-length source coding; information-spectrum analysis; probability distribution; quantum hypothesis testing; Concrete; Convergence; Information analysis; Information science; Information theory; Probability distribution; Quantum computing; Random variables; Source coding; Testing; Classical hypothesis testing; fixed-length source coding; information spectrum; optimal exponent; quantum hypothesis testing;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.889463