报告题目：A computable quantification of multi-mode Gaussian coherence and complete monogamy relation
报告人：侯晋川 太原理工大学教授、博士生导师
报告人简介：侯晋川，太原理工大学数学学院教授，博士生导师，研究方向为算子理论与算子代数、量子信息理论。曾担任山西师范大学校长，山西省科协主席兼太原理工大学副校长。两次获得山西省科技进步一等奖，两次获得山西省自然科学二等奖。享受国务院特殊津贴，曾获山西省优秀专家、山西省第二届科技功臣、全国做出突出贡献的回国留学人员、全国优秀教师、全国五一劳动奖章、全国先进工作者、山西省特级劳模等荣誉。
报告摘要：We propose a quantification CνGn of n-mode Gaussian coherence. The value of CνGn only depends on the covariance matrices and displacement vectors of continuous-variable states without any optimization procedures, and thus is easily calculated. For n＝1, CνGn is a proper Gaussian coherence measure of single-mode CV system. For n ≥ 2, CνGn is invariant under any permutation of submodes, nonincreasing under any n-mode local incoherent Gaussian channels, vanishes at incoherent Gaussian states, and satisfies the unification condition and the hierarchy condition that a multi-partite quantum correlation measure should obey. Thus CνGn is a multi-partite Gaussian correlation measure, which reveals, though the quantum coherence lives in single-partite systems, that the multi-mode coherence for continuous-variable systems can be regarded as a multi-partite Gaussian correlation between modes, and such multi-partite Gaussian correlation is also a quantum resource. Moreover, we show that CνGn is completely monogamous as a multi-partite Gaussian correlation measure. This means that the n-mode Gaussian coherence subjects to the principles of resource allocation. In addition, CνGn is an upper bound of the geometric-based single-mode Gaussian coherence measure CνGn by the Bures distance at pure Gaussian states of mode ≤ 2 and can be used to detect coherence in any n-mode Gaussian states more efficiently.
报告时间：2024年9月21日14:30-15:30
报告地点：赛罕校区西院（校本部）学术会议中心2号会议室
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内蒙古大学数学科学学院
2024年9月19日
蒙ICP16002391号-1