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【直播】【QuACT系列报告】北航陈霖博士:The distillability of entanglement of ...

KouShare 蔻享学术 2022-12-26


本系列报告由中国科学院计算技术研究所主办,于2021年6月24日10:00开始,授权蔻享学术进行网络直播。




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

报告人


陈霖(北京航空航天大学)

时间


2021年6月24日 10:00-11:00


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.


报告人简介


图 | 陈霖


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,量子门分解,量子通信,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。




QuACT系列报告】专题链接:https://www.koushare.com/frontiers/fop/intro

编辑:王茹茹




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