报告地点：翡翠科教楼B座1710室

举办单位：数学学院

报告一：多体量子系统的精确状态无关不确定性关系

报告时间：10月30日14:45–15:45

报  告  人：王艺龄 博士 

工作单位：华南理工大学

报告简介:

不确定性关系刻画了量子系统中不相容可观测量的涨落限制。本报告基于紧致半单李代数的表示论，建立多体量子系统状态无关不确定性关系的统一理论框架，揭示总方差如何分解为不可约表示扇区内部的涨落与不同扇区之间的离散度，并给出总方差的精确最小值。进一步地，研究验证了集体自旋1/2系统中不确定性下限仅取决于粒子数奇偶性的猜想，并将相关结果推广至多体自旋1系统。

报告人简介：

王艺龄，华南理工大学博士后，博士毕业于美国北卡罗来纳州立大学，主要研究方向为量子信息与量子计算、多体量子系统的不确定性关系、量子纠缠，以及李代数与表示论在量子物理中的应用。

报告二：Quantum Causal Compatibility from Spatiotemporal Correlations

报告时间：10月30日16:00–17:00

报  告  人：郑驻军 教授

工作单位：华南理工大学

报告简介:

Which quantum causal structures can account for observed spatiotemporal correlations without access to an intervention-complete description of the underlying process? In particular, can such correlations distinguish a temporal chain, a common cause, and a common effect? Here, we address these questions using three-qubit pseudo-density operators constructed from experimentally accessible Pauli correlations. We derive necessary and sufficient conditions for pseudo-Markov compatibility with the chain, fork, and collider structures by relaxing complete positivity while preserving the corresponding quantum Markov constraints. Despite their distinct causal mechanisms, all three pseudo-Markov compatibility problems reduce to linear feasibility tests, without requiring full-rank marginal states. We further establish a unified semidefinite-programming approach to physical realizability and quantify the minimum violation of complete positivity through Choi negativity. Using a two-parameter family of pseudo-density operators, we demonstrate that different causal structures admit overlapping yet non-nested sets of correlations. Our results show that quantum causal explanations need not be unique, but experimentally accessible correlations can nevertheless distinguish and exclude candidate causal structures.

报告人简介：

郑驻军，华南理工大学数学学院教授、博士生导师，主要研究数学物理、量子信息与量子计算，现任广州市量子精密测量重点实验室主任、大湾区应用数学中心量子计算和量子信息研究院院长。