项目名称: 基于纠缠目击者一般分解的可分标准及其扩展研究
项目编号: No.61272013
项目类型: 面上项目
立项/批准年度: 2013
项目学科: 自动化技术、计算机技术
项目作者: 王帮海
作者单位: 广东工业大学
项目金额: 61万元
中文摘要: 量子纠缠是量子信息处理的中心物理资源。但人们对纠缠还不够了解,尚未找到判断任一个量子态是否是纠缠态的有效方法。纠缠目击者被认为是目前最主要、最好的方法。最近,我们找到了源于一般以及可分密度矩阵的纠缠目击者分解,提出了一个检测纠缠算法等。本项目拟在此基础上:1)优化我们提出的检测纠缠算法与弱最优纠缠目击者的计算方法,分析、计算它们复杂性;2)解决Korbicz等的猜想,找出纠缠目击者与纠缠破坏信道的关系,换角度深化研究纠缠破坏信道;3)从几何上刻化优、弱最优、最优纠缠目击者及可分态这个特殊的凸集,进而描述它们之间的几何关系;4)利用刻化的可分态集"边界",设法找出距离纠缠态最近的可分态,最终找到任给纠缠态的目击者,有效判断纠缠;5)将纠缠目击者的分解推广到可调控态标准与量子目击者的研究。本项目拟将可分标准、纠缠破坏信道、可调控态标准和量子目击者结合起来,为寻找物理资源提供理论依据与实现导向。
中文关键词: 纠缠目击者;SPA猜想;弱最优纠缠目击者;多体纠缠目击者;超级纠缠目击者
英文摘要: Quantum entanglement is a physical resource central to quantum information processing.However,quantum entanglement has not been sufficient understanding.The effective method has not been found to detect whether or not a given state is entangled. Entanglement witnesses is considered to be currently the most important, the best method to detect entanglement. Recently, our group found general decompositions of entanglement witnesses from density matrices and from separable density matrices, and proposed an algorithm of detecting entanglement and so on.Based on these results, the project is planned to 1)to optimize the algorithm of detection entanglement and the calculation of weakly optimal entanglement witnesses put by us, and to analyze and calculate their complexity; 2)to solve the conjecture of Korbicz et al., and to find the relation between entanglement witnesses and entanglement-breaking channels, and to deepen the study of entanglement-breaking channels from another perspective; 3) geometrically characterize the finer, the weakly optimal, the optimal entanglement witnesses, and the special convex sets of separable states, and thus depict the geometric relationship between them; 4) manage to find the nearest separable state to entangled states with the "boundaries"of the set of separable states, ultimately
英文关键词: Entanglement Witnesses;SPA Conjecture;Weakly Optimal Entanglement Witnesses;Multipartite Entanglement Witnesses;Super Entanglement Witnesses