Speaker
Mizanur Rahaman, Chalmers University of Technonology and University of Göteborg
Abstract
Quantum hypothesis testing- the task of distinguishing two quantum states is a fundamental problem and underpins many crucial tasks in Quantum Information Theory. In this series of talks I will introduce the basics of hypothesis testing and provide an account of recent developments that took place on this topic. More specifically, the first talk will introduce the basics and will be about the Quantum Chernoff bound and the Quantum Stein’s lemma in the context of binary hypothesis testing. In the second talk, I will discuss more advanced topics such as composite hypothesis testing and recent resolution of the generalized Quantum Stein’s lemma (GQSL). At the end I will briefly mention an ongoing joint work with Bjarne Bergh and Li Gao on proving the GQSL in some special cases in an arbitrary von Neumann algebra.