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

主讲人：北京航空航天大学 陈霖副教授、博导

时间：2021年8月17日(周二) 上午 10:00-12:00

地点：腾讯会议号：318615908

摘要：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 non positive 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. The conjecture is listed as open problem 41 in the website ”Open quantum problems-IQOQI Vienna”.  We also prove the conjecture for some special M with arbitrary Schmidt rank.

个人简介：陈霖，北京航空航天大学副教授、博导，北航卓越百人计划人选，浙江大学博士，新加坡国立大学研究员，加拿大滑铁卢大学研究员等。研究领域为量子信息理论，研究课题包括但不限于不可扩展基，矩阵论，量子纠缠，量子门分解，量子区分，量子通信，无偏差基，张量秩等。在CMP，NJP，PRA，PRL等国内外重要期刊上发表论文多篇，主持北京市自然科学基金，国家自然科学基金面上项目等多项。

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