报告题目：$\alpha$-$z$-Renyi relative entropy related quantities and their preservers

报 告 人：齐霄霏 教授 (山西大学)

报告时间：2022年7月25日 15:30-16:30

报告地点：腾讯会议   会议号：522 553 195

邀 请 人：刘浏 教授

报告摘要 ：Various quantum relative entropies play important roles in classical and quantum information theory. In this paper, we generalize the definition of $\alpha$-$z$-Renyi relative entropy from finite-dimensional quantum systems to infinite-dimensional quantum systems, give its some properties, and then determine the structure of all maps preserving $\alpha$-$z$-Renyi relative entropy on positive trace-class operators. In addition, we also study $\alpha$-$z$-Bures Wasserstein divergences based on $\alpha$-$z$-Renyi relative entropy on all positive trace-class operators, and give a complete characterization of all maps preserving $\alpha$-$z$-Bures Wasserstein divergences on the set of all positive trace-class operators and on the set of all positive invertible elements in the general finite C*-algebras, respectively.

报告人简介：齐霄霏，山西大学数学科学学院教授、博导。主要从事算子理论与算子代数，以及量子信息中量子关联等的基础理论研究。出版学术专著1部，在Journal of Functional Analysis，Science in China，Physical Review A，Science in China等知名学术刊物上发表学术论文100余篇。主持或完成国家自然科学基金项目4项、山西省优秀青年基金项目1项、其它省级项目2项，获山西省自然科学奖二等奖1项。曾获山西大学青年英才，山西省高校优秀青年学术带头人，山西省高校131领军人才工程-优秀中青年拔尖创新人才，三晋英才计划青年优秀人才,山西大学十佳青年教师等。