Demonstrating Entanglement by Testing Bell's Theorem in Majorana Wires

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. 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.

11 pages, 8 figures, 2 tables

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Cited by in corpus (7)

• Assembling Fibonacci Anyons From a ${\mathbb{Z}}_3$ Parafermion Lattice Model
• Stabilization and control of Majorana bound states with elongated skyrmions
• A practical phase gate for producing Bell violations in Majorana wires
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Majorana Entanglement Bridge
• Parafermion stabilizer codes
• Majorana bound states with chiral magnetic textures