BYU

Abstract by Paul Bailey

Personal Infomation


Presenter's Name

Paul Bailey

Degree Level

Undergraduate

Abstract Infomation


Department

Physics and Astronomy

Faculty Advisor

Jean-Francois Van Huele

Title

Proposed Experiment to Test Single-Electron Entanglement of Spin and Space

Abstract

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)].