Andrist, Ruben S.
Katzgraber, Helmut G.
Martín-Delgado, Miguel A.
- Journal Article
Rights / licenseCreative Commons Attribution 3.0 Unported
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 via both large-scale Monte Carlo simulations and 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 result 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 eight-vertex models. Show more
Journal / seriesPhysical Review X
Pages / Article No.
PublisherAmerican Physical Society
Organisational unit03769 - Katzgraber, Helmut Gottfried (SNF-Professur)
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