  Classically simulating the dynamics of anyonic excitations in two-dimensional
quantum systems is likely intractable in general because such dynamics are
sufficient to implement universal quantum computation. However, processes of
interest for the study of quantum error correction in anyon systems are
typically drawn from a restricted class that displays significant structure
over a wide range of system parameters. We exploit this structure to
classically simulate, and thereby demonstrate the success of, an
error-correction protocol for a quantum memory based on the universal Fibonacci
anyon model. We numerically simulate a phenomenological model of the system and
noise processes on lattice sizes of up to 128x128 sites, and find a lower bound
on the error-correction threshold of approximately 0.125 errors per edge, which
is comparable to those previously known for abelian and (non-universal)
nonabelian anyon models.
