【讲座题目】Kirkwood-Dirac nonclassicality advantages on quantum steering
【主 讲 人】郭志华教授(陕西师范大学数学与统计学院)
【讲座时间】2025年12月31日周三下午15：00
【讲座地点】腾讯会议：493 751 467
【主讲人简介】郭志华，陕西师范大学数学与统计学院教授，博士生导师，研究方向是算子理论与量子信息。近年来主要研究量子相干、量子资源理论、量子纠缠以及量子网络的数学基础等，目前主持国家自然科学基金面上项目1项。主持完成国家自然科学基金2项和中国博士后基金等4项。入选陕西省青年科技新星以及陕西省高层次人才特支计划——青年拔尖人才。
【讲座内容简介】The Kirkwood-Dirac (KD) distribution is a vital framework in quantum state characterization, which reveals nonclassical correlations through phase-space representations. In this work, we introduce trace-norm-based measures to assess the KD-nonclassicality of quantum states and derive the corresponding trade-off relations for qubit and qutrit systems. For a bipartite state shared by Alice and Bob and a set of measurements applied by Alice, the maximum value of the totally averaged quantum resource of Bob’s states is introduced with respect to a quantum resource quantifier. When the maximum value exceeds the upper bound in a trade-off relation, the bipartite state is said to exhibit nonlocal advantages of quantum resource (NAQR). We prove that a state exhibiting NAQR, such as nonlocal advantages of KD-nonclassicality (NAKDNC), is steerable from Alice to Bob. We demonstrate that NAKDNC of Werner states exhibit much more quantum steering than quantum coherence and quantum imaginarity do and also explore NAKDNC of the two-qutrit isotropic states. These findings emerge KD-nonclassicality as an independent nonclassical resource with operational relevance in quantum information protocols.
