报告题目:Trade-off relations and nonlocal advantages of Kirkwood-Dirac nonpositivity

报 告 人：郭志华（陕西师范大学）

报告时间：2025年4月12日上午9:30--10:30

报告地点：数学科学学院301会议室

报告摘要：The Kirkwood-Dirac (KD) distribution is a vital framework in quantum state characterization, revealing nonclassical correlations through phase-space representations. In this work, we introduce trace-norm-based measures to assess the KD nonpositivity of quantum states and derive the corresponding trade-off relations. For bipartite systems, we establish the nonlocal advantages of KD nonpositivity based on local measurements and a set of measures. We show that any d ⊗ 2 state with nonlocal advantages of KD nonpositivity is quantum steerable, but not the vice-versa. Furthermore, we demonstrate that KD nonpositivity in Werner states provides more nonlocal advantages than quantum imaginarity and quantum coherence. These findings emerge KD nonpositivity as an independent nonclassical resource with operational relevance in quantum information protocols.

报告人简介：郭志华，陕西师范大学教授，博士生导师。研究方向是算子理论与量子信息。近年来主要关注量子资源理论以及量子网络的数学基础，以第一作者或通讯作者身份发表SCI学术论文40余篇，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项和省部级项目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。