Demonstrating entanglement by testing Bell's theorem in Majorana wires

Authors

• David E. Drummond, University of California, Riverside
• Alexey Kovalev, University of Nebraska - LncolnFollow
• Chang-Yu Hou, University of California, RiversideFollow
• Kirill Shtengel, University of California, RiversideFollow
• Leonid P. Pryadko, University of California, RiversideFollow

Document Type

Article

Date of this Version

2014

Citation

Phys. Rev. B 90, 115404 (2014); DOI: 10.1103/PhysRevB.90.115404

Comments

©2014 American Physical Society. Used by permission.

Abstract

We propose an experiment that would establish the entanglement of Majorana zero modes in semiconductor nanowires by testing the Bell and Clauser-Horne-Shimony-Holt inequalities. Our proposal is viable with realistic system parameters, simple “keyboard” gating, and projective measurement. Theoretical models and simulation results indicate entanglement can be demonstrated with moderately accurate gate operations. In addition to providing further evidence for the existence of the Majorana bound states, our proposal could be used as an experimental stepping stone to more complicated braiding experiments.