Title: The distillability of entanglement of bipartite reduced density matrices of a tripartite state

Speaker: 陈霖 (北京航空航天大学数学科学学院副教授)

  陈霖于2003和2008年分别获得浙江大学物理和理论物理博士学位。先后在新加坡国立大学和加拿大滑铁卢大学等单位从事博士后工作。研究课题包括不可扩展基，矩阵论，量子纠缠理论，量子门，量子态区分，无偏差基，张量秩等。在CMP，NJP，PRA，PRL等期刊上发表论文多篇，主持国家自然科学基金面上项目等。

Abstract:

  The relation between the distillability of entanglement of three bipartite reduced density matrices from a tripartite pure state has been studied in [Phys. Rev. A 84, 012325 (2011)]. We extend this result to the tripartite mixed state of rank at most three. In particular we show that if the state has two bipartite reduced density operators with rank two, then the third bipartite reduced density operator additionally having nonpositive partial transpose (non-PPT) is distillable. In contrast, we show that the tripartite PPT state with two reduced density operators of rank two is a three-qubit fully separable state. We obtain these facts by proving a conjectured matrix inequality for the bipartite matrix M with Schmidt rank at most three. This is one of the main results of this paper. We also prove it for some M with arbitrary Schmidt rank.

2021-4-15,10:00AM，腾讯会议