报告题目：Inertias of Entanglement Witnesses

​报告人：陈霖 

报告时间：12月3日上午10点

腾讯会议 （会议 ID：767 866 030）

报告摘要: Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We study the inertias of EWs, i.e., the triplet of the numbers of negative, zero, and positive eigenvalues respectively. We focus on the EWs constructed by the partial transposition of states with non-positive partial transposes. We provide a method to generate more inertias from a given inertia by the relevance between inertias. Based on that we exhaust all the inertias for EWs in each qubit–qudit system. We apply our results to propose a separability criterion in terms of the rank of the partial transpose of state. We also connect our results to tripartite genuinely entangled states and the classification of states with non-positive partial transposes.

报告人简介：陈霖，北京航空航天大学数学科学学院博士生导师。于2003和2008年分别获得浙江大学物理学士和理论物理博士学位。先后在新加坡国立大学，加拿大滑铁卢大学和新加坡科技设计大学从事博士后工作。研究方向包括量子纠缠理论，无偏差基，张量秩等。在CMP，PRL，NJP，PRA等期刊上发表论文80多篇，主持国家自然科学基金面上项目等。