报告人：侯晋川（太原理工大学 教授）
报告时间：2024年11月23日上午8：30
报告地点：杏林湾酒店203会议室
联系人：陈芝花教授
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报告摘要： We explore in depth the structure of $(m+n)$-mode Gaussian channels, and introduce the class of the Gaussian unsteerable channels and the class of maximal Gaussian unsteerable channels, both of them may be chosen as the free operations, which completes the resource theory for Gaussian steering from $A$ to $B$ by Alice's Gaussian measurements. We also propose two quantifications $\mathcal{J}_{j}$ $(j=1,2)$ of $(m+n)$-mode Gaussian steering from $A$ to $B$. The computation of the value of $\mathcal{J}_{j}$ is straightforward and efficient, as it solely relies on the covariance matrices of Gaussian states, eliminating the need for any optimization procedures. Though $\mathcal{J}_{j}$s are not genuine Gaussian steering measures, they have some nice properties such as non-increasing under certain Gaussian unsteerable channels. Additionally, we compare ${\mathcal J}_2$ with the Gaussian steering measure $\mathcal N_3$, which is based on the Uhlmann fidelity, revealing that ${\mathcal J}_2$ is an upper bound of $\mathcal N_3$ at certain class of $(1+1)$-mode Gaussian pure states. As an illustration, we apply $\mathcal J_2$ to discuss the behaviour of Gaussian steering for a special class of $(1+1)$-mode Gaussian states in Markovian environments, which uncovers the intriguing phenomenon of rapid decay in quantum steering.
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。
