Abstract
Kirill Shtengel (UC Riverside / Microsoft Station Q)
Implementing quantum phase gates with Ising anyons
Non-Abelian anyons of Ising type are likely to occur in a number of
physical systems, including quantum Hall systems, where recent experiments
appear to support their existence. In general, non-Abelian anyons may be
utilized to provide a topologically error-protected medium for quantum
information processing. However, the topologically protected operations
that may be obtained by braiding and measuring topological charge of Ising
anyons are not computationally universal. Nevertheless they can be made
universal when supplemented with a single-qubit phase gate.
We propose a method of implementing arbitrary single qubit phase gates for
Ising anyons by utilizing interference of auxiliary anyons around
computational anyons. While this gate is not topologically protected, our
estimates show that its error rate can be made lower than the threshold
for error correction. The error rate for systems with neutral Ising anyons
(e.g. topological insulator) is inherently lower than that for systems in
which the anyons carry charge (e.g. quantum Hall systems).
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