报告主题: Partial-Norm of Entanglement: Entanglement Monotones That are not Monogamous
报告人: 郭钰教授
报告时间:2023年10月27日(星期五)下午14:00-15:00
报告地点:腾讯会议:358-109-722
邀请人: 李茂生副教授
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数学学院
2023年10月24日
报告摘要:Quantum entanglement is known to be monogamous, i.e., it obeys strong constraints on how the entanglement can be distributed among multipartite systems. Almost all the entanglement monotones so far are shown to be monogamous. We explore here a family of entanglement monotones with the reduced functions are concave but not strictly concave and show that they are not monogamous. They are defined by four kinds of the “partial-norm” of the reduced state, which we call them partial-norm of entanglement, minimal partial-norm of entanglement, reinforced minimal partial-norm of entanglement, and partial negativity, respectively. This indicates that, the previous axiomatic definition of the entanglement monotone needs supplemental agreement that the reduced function should be strictly concave since such a strict concavity can make sure that the corresponding convex-roof extended entanglement monotone is monogamous. Here, the reduced function of an entanglement monotone refers to the corresponding function on the reduced state for the measure on bipartite pure states.
报告人介绍:郭钰,男,内蒙古大学数学科学学院教授。主要从事量子信息理论研究。在量子信息领域SCI核心期刊发表论文40余篇,出版专著1部。先后主持中国博士后科学基金第52批面上项目、国家自然科学基金青年科学基金项目、国家自然科学基金面上项目、山西省基础研究计划等项目8项。