1202.1852 (H. Bombin et al.)

Strong resilience of topological codes to depolarization    [PDF]

H. Bombin, Ruben S. Andrist, Masayuki Ohzeki, Helmut G. Katzgraber, M. A. Martin-Delgado

The inevitable presence of decoherence effects in systems suitable for
quantum computation necessitates effective error correction schemes to protect
information from noise. We compute the stability of the toric code to
depolarization by mapping the quantum problem onto a classical disordered
eight-vertex Ising model. By studying the stability of the related
ferromagnetic phase both via large-scale Monte Carlo simulations and via the
duality method, we are able to demonstrate an increased error threshold of
18.9(3)% when noise correlations are taken into account. Remarkably, this
agrees within error bars with the result for a different class of
codes---topological color codes---where the mapping yields interesting new
types of interacting 8-vertex models.

View original: http://arxiv.org/abs/1202.1852