Title

Stein's Lemma for Classical-Quantum Channels

Document Type

Conference Proceeding

Publication Date

7-1-2019

Abstract

It is well known that for the discrimination of classical and quantum channels in the finite, non-asymptotic regime, adaptive strategies can give an advantage over non-adaptive strategies. However, Hayashi [IEEE Trans. Inf. Theory 55(8), 3807 (2009)] showed that in the asymptotic regime, the exponential error rate for the discrimination of classical channels is not improved in the adaptive setting. We show that, for the discrimination of classical-quantum channels, adaptive strategies do not lead to an asymptotic advantage. As our main result, this establishes Stein's lemma for classical-quantum channels. Our proofs are based on the concept of amortized distinguishability of channels, which we analyse using entropy inequalities.

Publication Source (Journal or Book title)

IEEE International Symposium on Information Theory - Proceedings

First Page

2564

Last Page

2568

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