2026-07-23T07:58:03Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:4328 2024-03-06T10:34:50Z ddc:004 open_access

Kitaev's Z_d-Codes Threshold Estimates Duclos-Cianci, Guillaume Poulin, David Quantum error-correction threshold Topological stabilizer codes Qudit stabilizer codes We study the quantum error correction threshold of Kitaev's toric code over the group Z_d subject to a generalized bit-flip noise. This problem requires novel decoding techniques, and for this purpose we generalize the renormalization group method we previously introduced in [Duclos-Cianci/Poulin,arXiv:0911.0581,2009; Duclos-Cianci/Poulin,ITW'10,2010] for Z_2 topological codes. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Guillaume Duclos-Cianci and David Poulin 2013 Is Part Of LIPIcs, Volume 22, 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.TQC.2013.285 urn:nbn:de:0030-drops-43280 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2013.285 eng https://creativecommons.org/licenses/by/3.0/legalcode