Abstract by Paul Bailey
Physics and Astronomy
Jean-Francois Van Huele
Proposed Experiment to Test Single-Electron Entanglement of Spin and Space
Single-electron entanglement (SEE) is of interest for applications in quantum communication. SEE is a form of single-particle entanglement, which is entanglement between different degrees of freedom in the same particle. We consider SEE between the spatially dependent functional space and the spinor space of an electron beam. Following Eberly et al. [Optica 2, 611-615 (2015)], we reformulate the electronic spinor state as a tensor product between the functional and spinor spaces and use the Schmidt decomposition to identify a recognizable entangled state. We then construct a Bell-like test for confirming entanglement of the two spaces. Finally, we propose an experiment to violate the Bell-type inequality and which makes use of recently developed spin-polarizing electron beam splitters [Dellweg and Müller: Phys. Rev. Lett. 118, 070403 (2017)].