开放系统多体量子关联及相关问题研究

项目名称： 开放系统多体量子关联及相关问题研究

项目编号： No.11205121

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 物理学II

项目作者： 胡明亮

作者单位： 西安邮电大学

项目金额： 22万元

中文摘要： 量子关联相关问题是近年量子信息研究的热点之一，目前针对多体量子关联及其相关效应的研究还相对较少。本项目将以von Neumann熵相关理论和矩阵理论为基础，借助条件熵和互信息以及相对熵、Frobenius范数、Bures矩阵和迹距离等概念，从量子测量和"距离"度量两个不同角度探索三体和多体量子关联的度量、monogamy关系和量子非定域性问题，并以此为基础，以腔场-原子系统和自旋链系统为具体对象，研究开放系统中的多体量子关联动力学行为及相关量子效应，探讨相应的量子关联调控方案及其在稠密编码、远程态制备等量子信息处理过程中的应用，同时从量子关联的角度研究基于熵理论的不确定性关系，以及它作为纠缠见证应用时观测量和测量方式等的选择对于纠缠见证范围和灵敏度问题的影响，为量子信息相关理论的发展提供基础。

中文关键词： 多体量子关联；非定域性；熵不确定关系；开放系统；

英文摘要： Quantum correlation and the related problem is one of the most important research interest in the field of quantum information science in recent years, but studies focused on multipartite quantum correlations and its effects have seldom been reported so far. In this research project, based on the theory of von Neumann entropy and matrix theory and by virtue of the notions of conditional entropy, mutual information, as well as the relative entropy, Frobenius norm, Bures distance and trace distance, we study the issue related to the characterization and quantification of the tripartite and multipartite quantum correlations, its monogamy relation and quantum nonlocality from the perspectives of both quantum measurement and distance measures. Based on these measures, we further study dynamical behaviors of multipartite quantum correlations and its related effects for both the atomic and the spin-chain systems, and discuss possible schemes for controlling quantum correlations as well as its application in quantum protocols such as dense coding and remote state preparation. Meanwhile, we study the entropic uncertainty relation from the perspective of quantum correlations, and try to reveal how the choice of various observables and various estimates affect the sensitivity and the range of entanglement witnessed by this

英文关键词： multipartite quantum correlation；nonlocality；entropic uncertainty relation；open quantum system；