Setup of three Mach-Zehnder interferometers for production and observation of Greenberger-Horne-Zeilinger entanglement of electrons
Abstract
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.
- Publication:
-
Physical Review B
- Pub Date:
- April 2013
- DOI:
- 10.1103/PhysRevB.87.165417
- arXiv:
- arXiv:1204.5850
- Bibcode:
- 2013PhRvB..87p5417V
- Keywords:
-
- 03.65.Ud;
- 73.23.-b;
- Entanglement and quantum nonlocality;
- Electronic transport in mesoscopic systems;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Quantum Physics
- E-Print:
- 13 pages, 6 figures