报告题目： From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture

报告人：   张浩楠 博士后（奥地利科技学院）

报告时间： 2020年6月19日（星期五）下午16:00-17:00           

报告地点： 腾讯视频会议（线上）

会议 ID：615 743 877 会议密码：314159         

校内联系人：江永乐      联系电话：84708351-8033

报告摘要: Data Processing Inequality (DPI) for quantum relative entropy is a fundamental inequality in quantum information theory. In recent years many variants of quantum relative entropy have been introduced from different perspectives. It is then a natural and important question to ask whether DPI holds for them. This turns out to be closely related to the convexity/concavity of certain trace functions, which is an important topic in matrix analysis. Since Lieb's pioneering work in 1973 resolving the conjecture of Wigner-Yanase-Dyson, the study of convexity/concavity of trace functions has made great progress. In this talk I will give an introduction to DPI and a related conjecture of Audenaert-Datta, and prove a stronger conjecture of Carlen-Frank-Lieb concerning convexity/concavity of a family of trace functions.

报告人简介：张浩楠，2019年获得法国贝桑松大学（导师：许全华）和波兰科学院数学研究所（导师：Adam Skalski）联合培养博士学位，现为奥地利科技学院博士后。主要研究兴趣包括量子群，非交换调和分析，量子信息等。已在Adv. Math., Math. Z., Comm. Algebra, J. Operator Theory等主流杂志上发表多篇论文。