Improved phase gate reliability in systems with neutral Ising anyons

Abstract

Recent proposals using heterostructures of superconducting and either topologically insulating or semiconducting layers have been put forth as possible platforms for topological quantum computation. These systems are predicted to contain Ising anyons and share the feature of having only neutral edge excitations. In this note, we show that these proposals can be combined with the recently proposed "sack geometry" for implementation of a phase gate in order to conduct robust universal quantum computation. In addition, we propose a general method for adjusting edge tunneling rates in such systems, which is necessary for the control of interferometric devices. The error rate for the phase gate in neutral Ising systems is parametrically smaller than for a similar geometry in which the edge modes carry charge: it goes as $T^3$ rather than $T$ at low temperatures. At zero temperature, the phase variance becomes constant at long times rather than carrying a logarithmic divergence.

5 pages, 1 figure

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• How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
• Deterministic creation and braiding of chiral edge vortices
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• Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
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• Nonlocality as a Benchmark for Universal Quantum Computation in Ising Anyon Topological Quantum Computers
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• Suppression of 2π phase-slip due to hidden zero modes in one dimensional topological superconductors
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
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