【讲座题目】Entanglement detection length of multipartite quantum states
【主 讲 人】陈霖(北京航空航天大学数学科学学院)
【讲座时间】2026年01月08日周四上午10:00
【讲座地点】主楼C座636
【主讲人简介】陈霖先后在浙江大学,新加坡国立大学,加拿大滑铁卢大学等单位学习工作。研究方向是量子信息理论和数学问题,感兴趣的课题包括不可扩展基,边缘问题,非局域性和区分,纠缠提纯和见证,可分问题,无偏基,张量秩等。在CMP,IEEETIT,PRL等期刊发表论文多篇,主持国家自然科学基金和北京市基金项目等。2023和2024年发表于IEEETIT的两个工作,分别解决了2013年Winter等提出的部分转置矩阵秩的猜想,和2005年King等提出的三维子空间存在可区分正交基的猜想。
//math.buaa.edu.cn/szdw/axbck/tjyycx/cl.htm
//www.researchgate.net/profile/Lin-Chen-92
【讲座内容简介】Multipartite entanglement is a crucial resource for quantum computing, communication, and metrology. However, detecting this resource can be challenging: for genuine multipartite entanglement it may require global measurements that are hard to implement experimentally. In this study, we introduce the concept of entanglement detection length, defined as the minimum length of observables required to detect genuine multipartite entanglement. We characterize the entanglement detection length for various types of genuinely entangled states, including GHZ-like states, Dicke states, and graph states. We also present a classification of genuinely entangled states based on entanglement detection length. Furthermore, we demonstrate that the entanglement detection length differs from the minimum length of observables needed to uniquely determine a genuinely entangled state. Our findings are valuable for minimizing the number of observables that must be measured in entanglement detection.