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.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Nagaoka, H., Hayashi, M.: An information-spectrum approach to classical and quantum hypothesis testing, e-print, quant-ph/0206185 (2002)
Hiai, F., Petz, D.: The proper formula for relative entropy and its asymptotics in quantum probability. Commun. Math. Phys. 143, 99–114 (1991)
Ogawa, T., Nagaoka, H.: Strong converse and Stein’s lemma in quantum hypothesis testing. IEEE Trans. Inform. Theory 46, 2428–2433 (2000)
Han, T.S., Kobayashi, K.: The strong converse theorem for hypothesis testing. IEEE Trans. Inform. Theory 35, 178–180 (1989)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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)
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.