超导体中的Cooper对具有本征的自旋纠缠，将Cooper对在实空间分裂开就可以产生非局域纠缠的电子对。这种非局域纠缠电子对的可控产生，可以用于验证费米子系统的Bell不等式，对于量子力学基本问题的研究有重要意义。同时，非局域纠缠电子对可以与各类电子系统的量子比特耦合，实现量子信息传输，对于量子信息和量子计算有重要作用。项目申请人理论预言了由非局域纠缠电子对导致的反常超导量子干涉现象，提出了利用非局域纠缠来研究Majorana束缚态的理论方案。本项目拟在这些成果的基础上，进一步研究Cooper对分裂的量子泵浦现象，以及非局域纠缠电子对在拓扑超导体中的teleportation效应。为实现量子化的非局域纠缠电子源提供理论指导，为非局域电子纠缠的拓扑保护提供理论基础，推动Cooper对分裂及非局域纠缠电子对领域的进展。

Cooper pairs in superconductors have intrinsic spin entanglement. Cooper pair splitting in real space can achieve non-local entangled electron pairs. The controllable realization of non-local entangled electron pairs, and the measurements on them, can verify the Bell inequality in Fermionic systems, which are crucial for answering fundamental questions in quantum mechanics. In the meantime, the non-local entangled electron pairs can correlate with electronic based quantum bits, and transmit quantum information between them. The applicant has been theoretically predicted that the split non-local entangled electron pairs induce an anomalous superconducting quantum interference, and also propose a theoretical plan for utilizing the non-local entanglement to detect the Majorana bound states. Based on these achievements, this project will study the Cooper pair splitting Thouless pump, and investigate the method for non-local entanglement teleportation with Majorana bound states. The results of this project will provide theoretical guidance for achieving a single non-local entangled electron pair, and push the development of the field of Cooper pair splitting and non-local entanglement.