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Some Mathematical Problems Related to Quantum Hypothesis Testing

  • Hiroshi Nagaoka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4123)

Abstract

We present two open problems related to the asymptotics of quantum hypothesis testing, together with some discussions about their mutual relation, the classical counterparts and a possible conjecture.

Keywords

Mathematical Problem Hermitian Matrix Classical Counterpart Problem Problem Strong Converse 
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References

  1. 1.
    Nagaoka, H., Hayashi, M.: An information-spectrum approach to classical and quantum hypothesis testing, e-print, quant-ph/0206185 (2002)Google Scholar
  2. 2.
    Hiai, F., Petz, D.: The proper formula for relative entropy and its asymptotics in quantum probability. Commun. Math. Phys. 143, 99–114 (1991)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Ogawa, T., Nagaoka, H.: Strong converse and Stein’s lemma in quantum hypothesis testing. IEEE Trans. Inform. Theory 46, 2428–2433 (2000)zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Han, T.S., Kobayashi, K.: The strong converse theorem for hypothesis testing. IEEE Trans. Inform. Theory 35, 178–180 (1989)zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Hiroshi Nagaoka

There are no affiliations available

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