学术报告报告主题:Unextendible product bases from orthogonality graphs
报 告人:石飞博士
报告时间：2023年 4月3日（星期一）上午9:30-11:00
报告地点：四号楼4141
邀 请人: 李茂生副教授
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数学学院
2023年3月31日
报告摘要：Unextendible product bases (UPBs) play a key role in the study of quantum entanglement and nonlocality. A famous open question is whether there exist genuinely unextendible product bases (GUPBs), namely multipartite product bases that are unextendible with respect to every possible bipartition. Here we shed light on this question by providing a characterization of UPBs and GUPBs in terms of orthogonality graphs. Building on this connection, we develop a method for constructing UPBs in low dimensions, and we derive a lower bound on the size of any candidate GUPB, significantly improving over the state of the art. Moreover, we show that every minimal GUPB saturating our bound must be associated to regular graphs. Finally, we discuss a possible path towards the construction of a minimal GUPB in a tripartite system of minimal local dimension.
报告人介绍：石飞，香港大学博士后。主要研究领域是量子信息理论和组合数学，在 IEEE Trans. Inf. Theory, New J. Phys., Quantum, Phys. Rev. A, J. Phys. A等期刊发表论文10余篇。荣获2021年度博士生国家奖学金，2020年度“王小谟网络空间科技英才优秀学生”奖学金。