非局域性蒸馏

项目名称： 非局域性蒸馏

项目编号： No.11274010

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 杨名

作者单位： 安徽大学

项目金额： 78万元

中文摘要： 研究表明，存在比量子力学所能达到的非局域关联程度更高的关联，量子非局域性的物理本质以及限制其关联大小的物理机理有待澄清。另外，非局域关联越强，其有用性就越强，故如何提高系统的非局域关联吸引了人们的广泛关注，但目前已有的蒸馏方案仅适用于某些特定类型的非局域关联。针对如何提高系统的非局域关联,本项目拟开展以下研究工作：1、引入逻辑运算的不同组合以及其他广义逻辑运算方式作为非局域性蒸馏方案中的连接方式，设计出更普适的两方两维非局域性蒸馏方案和多方高维非局域性蒸馏方案；2、将非局域性蒸馏和纠缠纯化进行类比，在非局域性蒸馏过程中引入概率耦合，从而设计出以牺牲概率为代价的高效非局域性蒸馏方案；3、比较提高非局域性和纠缠所需的动力学过程，结合对量子非局域性蒸馏过程中的纠缠变化规律和纠缠纯化过程中的非局域性变化规律的研究，揭示出非局域性和纠缠的某些本质联系。同时，上述研究，将有助于揭示非局域性的物理本质。

中文关键词： 量子非局域关联；后量子非局域关联；非局域关联蒸馏；PR盒子；Bell不等式

英文摘要： Recent researches showed that, there exists a special kind of nonlocality whose degree of correlation is higher than that of any quantum entangled state. Naturally, one will ask the following questions, what is the intrinsic principle of the nonlocality and it is what that limits the quantum nonlocality from being more stronger. On the other hand,the nonlocality is a powerful physical resource for information processing. The stronger the nonlocal correlation is, the more powerful function it has. So, how to enhance the nonlocality becomes a hot research topic recently. Although, some schemes have been proposed for the distillation of weak nonlocalities, they are only applicable to some specific types of nonlocality, and none of them are universial. So, in this project, we are going to carry out the following studies: 1. By using different combinations of the basic logical operations or the generalized logical operations, we will design an universal distillation scheme for all bipartite binary-input binary-output nonlocally correlated boxes and the distillation scheme for the multipartite and multi-input multi-ouput boxes; 2. By comparing the nonlocality distillation process with the entanglement purification process, we will introduce a probabilistic coupling process and design a probabilistic distillation schem

英文关键词： Quantum nonlocality；Post-quantum nonlocality；Nonlocality distillation；PR box；Bell inequality