基于Bell不等式的量子多体纠缠态的非局域性研究

量子纠缠态的非局域性研究在量子力学理论发展和量子信息技术的不断革新中扮演着重要角色。量子多体纠缠态做为稀缺量子资源，其非局域性研究一直是量子理论研究的重要课题。本项目将针对多个独立量子信源在局域测量后得到的多体纠缠态和单个量子信源构造的多体纠缠态的非局域性展开相关研究，具体包括：1. 研究量子信源和量子测量设备组成的链式网络上的多体纠缠态的新型Bell不等式，并将其应用于量子随机数生成协议等任务中；2. 研究量子信源和量子测量设备组成的混合星型网络上的多体纠缠态的非线性Bell不等式，并给出最大违背值；3. 研究有限个独立量子纠缠态组成的多体纠缠态的非局域性，探索从微观层面到宏观层面的非局域性演变过程。本项目的研究成果推动量子相干性等理论研究，并为多体纠缠态在量子密码协议上的应用提供理论依据和技术支撑。

The nonlocality research of quantum entanglement plays an important role in the development of quantum mechanics theory and the continuous innovation of quantum information technology. As multipartite entangled states is a rare quantum resource, its nonlocality research has always been an important subject in the study of quantum theory. This project will research the nonlocality of multipartite entangled states created by playing local measurements on individual quantum source. This project includes: 1. research the new Bell inequality of multipartite entangled states on the chain network composed of quantum sources and quantum measurements, then apply it to the quantum random number generation protocol. 2. research on the nonlinear Bell inequality of multipartite entangled states on hybrid star networks composed of quantum sources and quantum measurements, and obtain its the maximum violation. 3. research the nonlocality of the multipartite entanglement state composed of a limited number of independent quantum entangled states, and explores the nonlocality evolution process from the microscopic level to the macroscopic level. The research will promote the theoretical research of quantum coherence and so on, and provide theoretical basis and technical support for the multipartite entangled states application in quantum cryptographic protocol.