Single electron quantum tomography in quantum Hall edge channels

TL;DR

This paper introduces a quantum tomography protocol to measure and analyze single electron wave functions in quantum Hall edge channels, enabling detailed studies of electron coherence and source characterization.

Contribution

It presents a novel quantum tomography method for single electron states in quantum Hall systems, facilitating direct wave function measurement and coherence analysis.

Findings

Proposes a feasible implementation using noise measurement schemes

Enables direct access to single electron wave functions

Facilitates studies of electron decoherence and source characterization

Abstract

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.