Efficient color code decoders in $d\geq 2$ dimensions from toric code decoders

We introduce an efficient decoder of the color code in $d\geq 2$ dimensions, the Restriction Decoder, which uses any $d$-dimensional toric code decoder combined with a local lifting procedure to find a recovery operation. We prove that the Restriction Decoder successfully corrects errors in the colo...

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Bibliographic Details
Main Authors: Aleksander Kubica, Nicolas Delfosse
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-02-21-929/pdf/