Topological blockade and measurement of topological charge

Abstract

The fractionally charged quasiparticles appearing in the 5/2 fractional quantum Hall plateau are predicted to have an extra non-local degree of freedom, known as topological charge. We show how this topological charge can block the tunnelling of these particles, and how such 'topological blockade' can be used to readout their topological charge. We argue that the short time scale required for this measurement is favorable for the detection of the non-Abelian anyonic statistics of the quasiparticles. We also show how topological blockade can be used to measure braiding statistics, and to couple a topological qubit with a conventional one.

arXiv commentPublished version: one additional paragraph (on the 331 state); Figs. 1 and 4 modified; Ref. 46 added

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Cited by in corpus (6)

• Braiding of non-Abelian anyons using pairwise interactions
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Measurement-only topological quantum computation without forced measurements
• Coulomb blockade with neutral modes
• Dynamics of parafermionic states in transport measurements
• Universal quantum noise in adiabatic pumping