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arXiv · 1204.5850

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

A. A. Vyshnevyy·G. B. Lesovik·T. Jonckheere·T. Martin
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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.

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A. A. Vyshnevyy, G. B. Lesovik, T. Jonckheere, T. Martin. 2012-04-26. Three Mach Zehnder Interferometers Setup for Production and Observation of GHZ-entanglement of Electrons. https://doi.org/10.1103/physrevb.87.165417

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