Strong resilience of topological codes to depolarization

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

Research output: Contribution to journalArticlepeer-review

75 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number021004
JournalPhysical Review X
Volume2
Issue number2
DOIs
Publication statusPublished - 2012
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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