Strong Resilience of Topological Codes to Depolarization

概要

論文の詳細を見る
従来の理論限界を大きく超える量子情報誤り訂正新技術 : 偏極解消トーラス符号.京都大学プレスリリース.2012-06-15.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.
2012-04-30