4.5 Article Proceedings Paper

Discrimination of Two Channels by Adaptive Methods and Its Application to Quantum System

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 55, Issue 8, Pages 3807-3820

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2009.2023726

Keywords

Active learning; channel; Chernoff bound; discrimination; experimental design; Han-Kobayashi bound; Hoeffding bound; one-way LOCC; quantum state; simple hypothesis testing; Stein's lemma

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The optimal exponential error rate for adaptive discrimination of two channels is discussed. In this problem, adaptive choice of input signal is allowed. This problem is discussed in various settings. It is proved that adaptive choice does not improve the exponential error rate in these settings. These results are applied to quantum state discrimination.

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