Strong resilience of topological codes to depolarization

Physics – Quantum Physics

Scientific paper

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10 pages, 6 figures, 1 table

Scientific paper

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.

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