Title :
Discrimination of Two Channels by Adaptive Methods and Its Application to Quantum System
Author :
Hayashi, Masahito
Author_Institution :
Grad. Sch. of Inf. Sci., Tohoku Univ., Sendai, Japan
Abstract :
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.
Keywords :
channel estimation; error statistics; information theory; probability; quantum communication; channel state; error rate; quantum state discrimination; Design for experiments; Error analysis; Estimation error; Informatics; Information theory; Parameter estimation; Quantum mechanics; Stochastic processes; Testing; Active learning; Chernoff bound; Han–Kobayashi bound; Hoeffding bound; Stein´s lemma; channel; discrimination; experimental design; one-way LOCC; quantum state; simple hypothesis testing;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2023726
