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

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.

5 pages, 2 figues

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Cited by in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons and the quantum Hall effect - a pedagogical review
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Interferometry of non-Abelian Anyons
• Fractional charge and fractional statistics in the quantum Hall effects
• Topological Quantum Compiling
• Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Implementing arbitrary phase gates with Ising anyons
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Improved phase gate reliability in systems with neutral Ising anyons
• Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state
• Fluctuation theorems without time-reversal symmetry
• Anyon braiding on the single edge of a fractional quantum Hall state
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Supersymmetric Hamiltonian Approach to Edge Excitations in $\nu =5/2$ Fractional Quantum Hall Effect
• Edge mode velocities in the quantum Hall effect from a dc measurement