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发布时间:2021-12-15文章来源:华南理工大学数学学院浏览次数:299

报告题目:Monogamy of Quantum Discord

 告人:郭钰教授(山西大同大学)

报告时间:2021年12月17日(星期五)下午3:00-4:00

报告地点:腾讯会议号:511462287

 请人:郑驻军 教授

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数学学院

2021年12月15日

报告摘要: The original quantum discord (QD) is shown to be not monogamous except for the three-qubit states. Recently, a complete monogamy relation for multiparty quantum system was established for entanglement in (Guo and Zhang 2020 Phys. Rev. A 101 032301), and in addition, a new multipartite generalization of QD was proposed in (Radhakrishnan et al 2020 Phys. Rev. Lett. 124 110401). In this work, we firstly define the complete monogamy for this multipartite quantum discord (MQD) and the global quantum discord (GQD).MQD, with the same spirit as the complete monogamy of entanglement, is said to be completely monogamous (i) if it does not increase under coarsening of subsystems and (ii) if some given combination of subsystems reach the total amount of the correlation, then all other combination of subsystems that do not include all the given subsystems do not contain such a correlation any more. Here, coarsening of subsystems means discarding or combining some subsystems up to the given partition. Simultaneously, the complete monogamy of GQD is also defined with slight modification on the coarsening relation. Consequently, we explore all the coarsening relations of MQD and show that it is completely monogamous with a modicum assumption. In addition, with the same spirit, we investigate all the coarsening relations for GQD and show that GQD is not completely monogamous. That is, in the sense of the complete monogamy relation, MQD as a generalization of the original QD captures the nature of such a quantum correlation, and thus it is nicer than GQD as a generalization.

  

报告人简介:郭钰,山西偏关县人,山西大同大学数学与统计学院教授、副院长,大同市学术技术带头人,山西省高校学校优秀青年学术带头人,山西省“三晋英才”支持计划2018年度青年优秀人才,山西省学术技术带头人。主要从事量子信息理论研究。