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

摘要

We study a tunneling geometry defined by a single point-contact constrictionthat brings to close vicinity two points sitting at the same edge of a quantumHall liquid, shortening the trip between the otherwise spatially separatedpoints along the normal chiral edge path. This ``wormhole''-like geometryallows for entrapping bulk quasiparticles between the edge path and the tunneljunction, possibly realizing a topologically protected qubit if thequasiparticles have non-Abelian statistics. We show how either noise or simplervoltage measurements along the edge can probe the non-Abelian nature of thetrapped quasiparticles.