Linear Analysis Seminar

Date: October 18, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Li Gao, TAMU

Title: Quantum entropy and noncommutative L_p norms

Abstract: Entropy and its variants play a central role in both classical- and quantum information theory. In last decade, the connection between quantum entropies and noncommutative $L_p$-norms has found many application in quantum information. In this talk, I will explain how this connection provides functional analytic tools to entropic quantity, such as quantum channel capacity and entropic uncertainty principle. A new connection between relative entropy and subfactor index will also be mentioned. This talk is based on joint works with Marius Junge and Nicholas LaRacuente.