Single electron quantum tomography in quantum Hall edge channels

Charles Grenier, Rémy Hervé, Erwann Bocquillon, François D. Parmentier, Bernard Plaçais, Jean-Marc Berroir, Gwendal Fève, Pascal Degiovanni

Published 2010-10-11, updated 2011-11-07Version 3

We propose a quantum tomography protocol to measure single electron coherence in quantum Hall edge channels and therefore access for the first time the wave function of single electron excitations propagating in ballistic quantum conductors. Its implementation would open the way to quantitative studies of single electron decoherence and would provide a quantitative tool for analyzing single to few electron sources. We show how this protocol could be implemented using ultrahigh sensitivity noise measurement schemes.