Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.3234186
Title: Quantum hypothesis testing with group symmetry
Authors: Hiai, F.
Mosonyi, M. 
Hayashi, M.
Issue Date: 2009
Source: Hiai, F., Mosonyi, M., Hayashi, M. (2009). Quantum hypothesis testing with group symmetry. Journal of Mathematical Physics 50 (10) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.3234186
Abstract: The asymptotic discrimination problem of two quantum states is studied in the setting where measurements are required to be invariant under some symmetry group of the system. We consider various asymptotic error exponents in connection with the problems of the Chernoff bound, the Hoeffding bound, and Stein's lemma, and derive bounds on these quantities in terms of their corresponding statistical distance measures. A special emphasis is put on the comparison of the performances of group-invariant and unrestricted measurements. © 2009 American Institute of Physics.
Source Title: Journal of Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112496
ISSN: 00222488
DOI: 10.1063/1.3234186
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