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

  • Authors:
  • Hiroshi Nagaoka;Masahito Hayashi

  • Affiliations:
  • Graduate Sch. of Inf. Syst., Univ. of Electro-Commun., Tokyo;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2007

Quantified Score

Hi-index 755.14

Visualization

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