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

A. A. Vyshnevyy (1) , G. B. Lesovik (2) , Thibaut Jonckheere (3, 4, 5) , Thierry Martin (3, 4, 5)

1 Department of General and Applied Physics [Moscow]
2 L.D. Landau Institute for Theoretical Physics of RAS
3 CPT - Centre de Physique Théorique - UMR 6207
4 AMU - Aix Marseille Université
5 CPT - Centre de Physique Théorique - UMR 7332

We propose a new single-step scheme for the generation of a Greenberger-Horne-Zeilinger (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 correlation 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.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

A. A. Vyshnevyy, G. B. Lesovik, Thibaut Jonckheere, Thierry Martin. Three Mach Zehnder Interferometers Setup for Production and Observation of GHZ-entanglement of Electrons. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 87, pp.165417. ⟨10.1103/PhysRevB.87.165417⟩. ⟨hal-00812174⟩