Simeng Wang: Noncommutative L^p spaces and the quantum Stein lemma for quantum hypothesis testing

Date: 2023-06-13

Time: 13:45 - 14:10


Simeng Wang, Harbin Institute of Technology


The quantum Stein lemma studies the error estimates of quantum hypothesis testing for physical states of quantum systems. In this talk I will present a recent complete result of second order quantum Stein’s lemma in the infinite-dimensional setting. The modular theory and Haagerup’s Lp spaces on type III von Neumann algebras play a key role in the argument. This is joint work with Yan Pautrat (arxiv:2010.02177, Ann. Henri Poincaré 2023).