学术报告第205期：Balanced Partial Entanglement and the Entanglement Wedge Cross Section

主讲人 (Speaker): 

文强

主讲人单位 (Speaker's Institute): 

东南大学

邀请人 (Invited by): 

苗荣欣

时间 (Time): 

星期二, 2021/04/13 - 10:00 to 11:30

地点 (Location): 

珠海校区海滨红楼17栋107 (Rm 107, Red House 17)

摘要 (Abstract): 

We define a new information theoretical quantity for any bipartite mixed state. We call it the balanced partial entanglement (BPE). The BPE is the partial entanglement entropy that satisfies certain balance requirements. We discuss the entropy relations satisfied by BPE and find they are quite similar to those satisfied by the entanglement of purification. We show that in holographic CFT the BPE equals to the area of the entanglement wedge cross section (EWCS) divided by 4G. More interestingly, when we consider the canonical purification, the BPE is just half of the reflected entropy, which is also directly related to the EWCS. The BPE can be considered as an generalization of the reflected entropy for a generic purification of the mixed state. We interpret the correspondence between the BPE and EWCS using the holographic picture of the entanglement contour.

主讲人简介 (Speaker's CV): 

文强，2015年博士毕业于人民大学物理系，2015年至2018年为清华大学数学中心博士后。曾在Perimeter Institute以及哈佛大学做过访问研究工作，2019年入职东南大学丘成桐中心以及数学学院。研究领域主要为量子引力与量子信息的交叉方向，尤其在渐近非AdS时空全息纠缠熵几何图像的研究以及部分纠缠熵的基础性研究上取得了有国际影响力的成果。