基于信息论的测量诱发的非定域性研究

项目名称： 基于信息论的测量诱发的非定域性研究

项目编号： No.61303009

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 席政军

作者单位： 陕西师范大学

项目金额： 25万元

中文摘要： 随着量子计算机研究的进一步深入,量子态的非定域性日益重要,尤其是如何度量和检测非定域性？最近,测量诱发的非定域性得到许多学者的广泛关注,该方法还有许多本身的问题没有得到很好解决。本项目使用信息论的方法,研究两体量子系统上测量诱发的非定域性及其相关的性质和应用。首先将子系统上局部不变的von Neumann测量引起量子态测量前后的最大相对熵解释为测量诱发的非定域性,即相对熵非定域性。通过对其基本性质的研究的基础上,探究相对熵非定域性的Monogamy性质，以及与熵不确定关系之间联系。其次,使用相对熵刻画非经典关联,详细讨论非经典关联态的非定域性,并给出复合系统上局部操作引起的非定域性和非经典关联之间的关系。通过这些研究试图揭示熵形式刻画的非定域性和非经典关联之间的异同,进而完善和丰富量子测量诱发的非定域性的理论体系。

中文关键词： 量子测量；非定域；量子相干；量子关联；

英文摘要： Along with the research of quantum computer more lucubrate, the nonlocality of quantum states becomes increasingly important, typical questions arise: how can one quantify and detect the presence of nonlocality? Measurement induced nonlocality has been extensively studied in recent years, but many essential problems can not completely settle in the previous researchs. The aim of this project is to use the information theoretic approach to study measurement induced nonlocality and related the properties and appliaction in the bipartite quantum system. We interpret the maximal relative entropy caused by locally invariant von-Neumann measurements as measurement induced nonlocality, which is the so-called relative entropy of nonlocality. The proposed formulas are then used to study the monogamy relation of the relative entropy of nonlocality, and clarify the relationships between the entropic uncertainty relation and the relative entropy of nonlocality. On the other hand, we use relative entropy to quantify the nonclassical correlation, we then discuss that only those bipartite quantum states possessing nonvanishing nonclasscial correlations have the property that any nontrivial local operations changes their global state. We derive the exact relation between the global state change induced by local operations and t

英文关键词： quantum measurement；nonlocality；quantum coherence；quantum correlations；