【廿周年院庆学术报告83期】 · 【和山数学论坛第370期】

一、报告题目：Complete monogamy of multipartite quantum mutual information

二、报告人：郭钰 教授

三、时  间： 2023年6月3日(周六)  10:00---11:00

四、腾讯会议号：714-554-776

报告提要：Quantum mutual information not only displays the mutual information in the system but also demonstrates some quantum correlation beyond entanglement. We explore here two alternatives of the multipartite quantum mutual information (MQMI) based on the von Neumann entropy according to the framework of the complete measure of the multiparticle quantum system. We show that these two MQMIs are complete and are monogamous on pure states, and one of them (we call it type-1) is not only completely monogamous but also tightly complete monogamous, while the other one (we call it type-2) is not. Moreover, we present another two MQMIs by replacing the von Neumann entropy with the Tsallis q-entropy from the former two ones. It is proved that one of them displays some degree of “completeness” as a measure of the multiparticle quantum system, but the other one is not even non-negative and thus it cannot be an alternative of MQMI. We also discuss the triangle relation for these three alternatives of MQMI. It is shown that the triangle inequalities hold for the former two MQMIs as that of entanglement measure but the later one fails. We thus can conclude that the type-1 von Neumann entropy MQMI is a “fine” measure of multipartite quantum correlation.

Reference: Phys. Rev. A107, 042409 (2023).

报告人简介：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43篇，出版专著1部。作为主持人已结题中国博士后科学基金第52批面上项目1项、国家自然科学基金青年科学基金项目1项、山西省基础研究计划项目1项、山西省应用基础研究计划项目1项，在研国家自然科学基金面上项目一项、山西省留学人员科技活动择优资助项目1项、山西省高等学校科技创新项目优秀成果培育项目1项。

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