Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: K1.00130 : Implementing quantum phase gates with Ising anyons
Author:
Non-Abelian anyons of Ising type are likely to occur in a
number of physical systems, including quantum Hall systems,
where recent experiments 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).
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.K1.130
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