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General Theory of Information Transfer and Combinatorics pp 1100–1103Cite as

Some Mathematical Problems Related to Quantum Hypothesis Testing

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,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.

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References

  1. Nagaoka, H., Hayashi, M.: An information-spectrum approach to classical and quantum hypothesis testing, e-print, quant-ph/0206185 (2002)

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  2. Hiai, F., Petz, D.: The proper formula for relative entropy and its asymptotics in quantum probability. Commun. Math. Phys. 143, 99–114 (1991)

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  3. Ogawa, T., Nagaoka, H.: Strong converse and Stein’s lemma in quantum hypothesis testing. IEEE Trans. Inform. Theory 46, 2428–2433 (2000)

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  4. Han, T.S., Kobayashi, K.: The strong converse theorem for hypothesis testing. IEEE Trans. Inform. Theory 35, 178–180 (1989)

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Authors
  1. Hiroshi Nagaoka
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, 100131, 33501, Bielefeld, Germany

    Rudolf Ahlswede

  2. Fakultät für Mathematik, Universität Bielefeld, Universitätsstr. 25, 33615, Bielefeld, Germany

    Lars Bäumer , Ning Cai , Harout Aydinian  & Christian Deppe , ,  & 

  3. Russian Academy of Sciences Institute of Problems of Information Transmission, Bol’shoi Karetnyi per. 19, 101447, Moscow, Russia

    Vladimir Blinovsky

  4. Universität Bielefeld, Fakultät für Mathematik, Universitätsstr. 25, 33615, Bielefeld, Germany

    Haik Mashurian

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© 2006 Springer-Verlag Berlin Heidelberg

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Nagaoka, H. (2006). Some Mathematical Problems Related to Quantum Hypothesis Testing. In: Ahlswede, R., et al. General Theory of Information Transfer and Combinatorics. Lecture Notes in Computer Science, vol 4123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889342_81

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  • DOI: https://doi.org/10.1007/11889342_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46244-6

  • Online ISBN: 978-3-540-46245-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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