Distillability of non-positive-partial-transpose bipartite quantum states of rank four

主 讲 人 ：陈霖    副教授

活动时间：05月01日10时00分    

地      点 ：理科群1号楼D203室

讲座内容：

We show that a bipartite quantum state of rank four is distillable if its partial transpose has at least one negative eigenvalue; that is, the state is a non-positive-partial transpose (NPT). For this purpose we prove that if the partial transpose of a two-qutrit NPT state has at least two non-positive eigenvalues, then the state is distillable. We further construct a parametrized two-qutrit NPT state of rank five which is not 1-distillable and show that it is not n-distillable for any given n when the parameter is sufficiently small. This state has the smallest rank among all 1-undistillable NPT states. We conjecture that the state is not distillable.

主讲人介绍：

陈霖于2008年获得浙江大学理论物理博士，先后在新加坡国立大学，加拿大滑铁卢大学，和北航数学学院等单位工作。研究方向是量子信息理论，课题包括不可扩展基，非局域性，纠缠理论，量子态区分，无偏基和张量秩等。在CMP，IEEETIT，PRL，Quantum等期刊发表论文多篇，主持国家自然科学基金面上项目等，担任Frontiers in Quantum Science and Technology的审稿编辑等职位，2023和2024年发表于IEEETIT的两个工作，分别解决了2013年Winter等提出的部分转置的矩阵秩的猜想，和2005年King等提出的三维子空间存在可区分正交基的猜想。

发布时间：2025-04-30 16:19:41