In this report we review the present state of the art of the control of propagating quantum
states at the single-electron level and its potential application to quantum information …

The edge channels of the quantum Hall effect provide one dimensional chiral and ballistic
wires along which electrons can be guided in an optics‐like setup. Electronic propagation …

Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the
quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The …

Coulomb interaction has a striking effect on electronic propagation in one-dimensional
conductors. The interaction of an elementary excitation with neighbouring conductors …

The model of interacting fermion systems in one dimension known as a Tomonaga–
Luttinger liquid (TLL), provides a simple and exactly solvable theoretical framework that …

In contrast to a free-electron system, a Tomonaga–Luttinger (TL) liquid in a one-dimensional
(1D) electron system hosts charge and spin excitations as independent entities,,,. When an …

Quantum Hall edge channels at integer filling factor provide a unique test bench to
understand the decoherence and relaxation of single-electron excitations in a ballistic …

We report time-of-flight measurements on electrons traveling in quantum Hall edge states.
Hot-electron wave packets are emitted one per cycle into edge states formed along a …

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect.
Electron-electron interactions often affect the scattering, and understanding of the interaction …

We study the minimal excitations of fractional quantum Hall edges, extending the notion of
levitons to interacting systems. Using both perturbative and exact calculations, we show that …