题 目: On basis-dependent correlations
报告人: 李楠副研究员
中国科学院数学与系统科学研究院
应用数学研究所
摘 要: Since both coherence and quantum correlations arise from the superposition principle and can be regarded as resources in quantum information tasks, it is of significance to investigate the interplay between them from different perspectives. In this work we focus on the basis-dependent correlations in a bipartite state defined by the coherence difference between global state and local state relative to a local basis and characterize bipartite states with vanishing basis-dependent correlations. Using the relative entropy of coherence, the structure of such states has been determined by Yadin et al. [Phys. Rev. X 6, 041028 (2016)], which we call block-diagonal product states here. The first result of this work is to demonstrate that the set of block-diagonal product states can also be characterized by the property of possessing vanishing basis-dependent correlations using the coherence measure based on skew information. As a by-product of this result, we describe the structure of quantum ensembles saturating the convexity inequality in the resource theory of coherence using the coherence measure based on skew information, which may be of independent interest. Next, we characterize the set of bipartite states with vanishing basis-dependent correlations using the l1 norm of coherence, and show that the set of block-diagonal product states is a subset of it.
简介: 李楠，中国科学院数学与系统科学研究院副研究员。2018年入选中国科学院数学与系统科学研究院陈景润未来之星计划，2020年入选中国科学院青年创新促进会会员。主要研究方向为量子信息基础理论，包括量子关联理论，量子测量问题等。
报告时间：2025年4月14日周一 14:00-15:00
报告地点：#腾讯会议：159-327-484(密码 0414)
