Open Access
April 2005 On the Chernoff bound for efficiency of quantum hypothesis testing
Vladislav Kargin
Ann. Statist. 33(2): 959-976 (April 2005). DOI: 10.1214/009053604000001219


The paper estimates the Chernoff rate for the efficiency of quantum hypothesis testing. For both joint and separate measurements, approximate bounds for the rate are given if both states are mixed, and exact expressions are derived if at least one of the states is pure. The efficiencies of tests with separate and joint measurements are compared. The results are illustrated by a test of quantum entanglement.


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Vladislav Kargin. "On the Chernoff bound for efficiency of quantum hypothesis testing." Ann. Statist. 33 (2) 959 - 976, April 2005.


Published: April 2005
First available in Project Euclid: 26 May 2005

zbMATH: 1070.62117
MathSciNet: MR2163165
Digital Object Identifier: 10.1214/009053604000001219

Primary: 62G10 , 62P35

Keywords: entanglement , fidelity , joint measurement , quantum relative entropy , quantum statistics , separate measurement

Rights: Copyright © 2005 Institute of Mathematical Statistics

Vol.33 • No. 2 • April 2005
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