EPR量子关联新型判据及其应用

量子纠缠，量子导引和量子非定域性是源出同宗但内涵不同的三种非经典关联现象。它们一方面涉及量子理论的基本问题, 另一方面又与量子信息领域中的理论和实验工作密切相关。尽管针对它们的研究已经有了一些成果，但是大部分是把每一个概念分割开来独立讨论。因而，我们在其中一些核心问题上的研究结果仍然十分有限，比如区分各种量子关联的充要条件、是否存在判定三种量子关联的统一判据、如何快速的实现各种不同量子关联的的态鉴别等。在本项目中我们拟紧扣上述问题，通过引入量子弱测量和量子机器学习技术，从不同的角度多方位审视和研究相关的问题，主要包括：1）探索和研究EPR量子关联之间的统一的判定标准及定量映射关系；2）探索和研究基于弱测量下的EPR量子关联的判据及特性；3）量子机器学习在EPR量子关联的判定中的应用；4）针对不同物理体系中的可操作的EPR量子关联判定方案。

Quantum entanglement, quantum steering and quantum non-locality are three different non-classical correlations originating from the same clan. These concepts, on the one hand, belong to fundamental problems of quantum theory, on the other hand, have intimate relevance to the researches on quantum information. Although there have been some achievements in the research of these concepts, most of them are discussed each concept independently. Therefore, the knowledge on many of the core issues are still very limited, such as the necessary and sufficient conditions for distinguishing various quantum correlations, the existence of unified criteria for determining three kinds of quantum correlations, and how to quickly realize the state identification of different quantum correlations. In this project, we plan to closely grasp and investigate the above issues from different perspectives and perspectives by quantum weak measurement and quantum machine learning technologies, such as 1) Exploring and investigating the unified criteria and quantitative mapping relationship between EPR quantum correlations; 2) Exploring and investigating the criteria and characteristics of EPR quantum correlations based on weak measurements; 3) Application of quantum machine learning in the determination of EPR quantum correlations; 4) the feasible schemes of determination of EPR quantum correlations in different physical systems.