Edge-Induced Qubit Polarization in Systems with Ising Anyons

Abstract

We investigate the proposed experimental setup for measuring the topological charge in a an Ising anyon system by means of Fabry-Pérot interferometry with a chiral edge state. We show that such an interferometer has the unintended but not necessarily unwelcome effect of stabilizing the state of the system being measured (i.e., a topological qubit). We show further that interactions between the edge mode and the localized bulk quasiparticles can have the effect of polarizing the qubit, stabilizing its state. We discuss the these results in the context of recent interferometer experiments in the 5/2 fractional quantum Hall state, where the first of these effects is small, but the second may be relevant to the observed phenomena.

12 pages, 2 figures. Submitted to New Journal of Physics

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Cited by in corpus (7)

• Fractional charge and fractional statistics in the quantum Hall effects
• Topological Protection of Majorana Qubits
• Quasi-Topological Phases of Matter and Topological Protection
• Telegraph noise and the Fabry-Perot quantum Hall interferometer
• Braiding of non-Abelian anyons using pairwise interactions
• Topological blockade and measurement of topological charge
• Topological Quantum Infidelity