Non-locality is a fundamental property of quantum mechanics. A basic route for study this non-locality is the generation of the non-local entangled electron pairs. This project will build physical models to study the non-local entangled electron pairs based on Cooper pair splitting effect. On top of that, we will theoretically study the generation, protection, and detection of the non-local entanglement. The detailed studies include four parts: (1) the quantum pumping mechanism for the controllable generation of a singe non-local entangled electron pair; (2) the topological protection of the non-local entanglement by the superconducting gap. The applicant is an expert in the field of Cooper pair splitting and non-local entanglement. The success of the project will clarify the mechanism of generation non-local entangled electron pairs in superconductors, and will be helpful for the fundamental research of quantum theory and the design of superconducting quantum devices.