Three Mach Zehnder Interferometers Setup for Production and Observation of GHZ-entanglement of Electrons

TL;DR

This paper introduces a novel single-step method to generate and detect GHZ entangled states of three electrons using Mach-Zehnder interferometry, advancing quantum electron entanglement experiments.

Contribution

It presents a new scheme for creating GHZ entanglement of electrons and a method for its unambiguous detection using mesoscopic interferometry.

Findings

Proposes a single-step GHZ state generation scheme for electrons.

Provides a detection method based on Bell inequality violations.

Designs a prototype device using GaAs quantum Hall systems.

Abstract

We propose a new single-step scheme for the generation of a GHZ entangled state of three single-electron excitations (flying qubits). We also present a method to get a generalized GHZ-state. Our idea relies upon the most recent progress in the field of on-demand electron sources and mesoscopic Mach-Zehnder interferometry. We also provide the recipe for the unambiguous detection of this GHZ state via correlations measurements at the output, which imply the violation of a Bell-type inequality which is generalized to the case of three particles. We explain how such measurements can be achieved in the context of Mach-Zehnder interferometry, and draw an actual prototype device which could be achieved with point contacts and metallic gates placed on a GaAs sample, in the integer quantum Hall effect regime.