"Wormhole" geometry for entrapping topologically-protected qubits in non-Abelian quantum Hall states and probing them with voltage and noise measurements

TL;DR

This paper proposes a 'wormhole' geometry in quantum Hall systems to trap non-Abelian quasiparticles, enabling topologically protected qubits and detection via voltage and noise measurements.

Contribution

It introduces a novel tunneling geometry that entraps non-Abelian quasiparticles, facilitating topological qubit realization and detection methods.

Findings

The geometry can trap non-Abelian quasiparticles effectively.

Voltage and noise measurements can reveal non-Abelian statistics.

Potential for topologically protected quantum computation.

Abstract

We study a tunneling geometry defined by a single point-contact constriction that brings to close vicinity two points sitting at the same edge of a quantum Hall liquid, shortening the trip between the otherwise spatially separated points along the normal chiral edge path. This ``wormhole''-like geometry allows for entrapping bulk quasiparticles between the edge path and the tunnel junction, possibly realizing a topologically protected qubit if the quasiparticles have non-Abelian statistics. We show how either noise or simpler voltage measurements along the edge can probe the non-Abelian nature of the trapped quasiparticles.