QLunch: Recent results on Quantum Channel Discrimination

Speaker: Christoph Hirche from QMATH

Title: Recent results on Quantum Channel Discrimination

Abstract: Given several hypotheses, determining which one is true is one of the most fundamental problems in science. When the hypotheses are given by i.i.d. quantum states, the optimal asymptotic performance of possible tests is well explored. However, when we consider quantum channels as hypotheses the picture is much less clear. In this talk we will first review the underlying formalism and previously known results. Then we will discuss several recent results, providing significant progress, with a particular focus on the optimal asymptotic error rate in asymmetric quantum channel discrimination (read, quantum Stein's Lemma). Finally, we conclude with some open questions.