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- W2046753312 abstract "We propose a general strategy to decode color codes, which is based on the projection of the error onto three surface codes. This provides a method to transform every decoding algorithm of surface codes into a decoding algorithm of color codes. Applying this idea to a family of hexagonal color codes, with the perfect matching decoding algorithm for the three corresponding surface codes, we find a phase error threshold of approximately $8.7%$. Finally, our approach enables us to establish a general lower bound on the error threshold of a family of color codes depending on the threshold of the three corresponding surface codes. These results are based on a chain complex interpretation of surface codes and color codes." @default.
- W2046753312 created "2016-06-24" @default.
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- W2046753312 date "2014-01-16" @default.
- W2046753312 modified "2023-10-16" @default.
- W2046753312 title "Decoding color codes by projection onto surface codes" @default.
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- W2046753312 doi "https://doi.org/10.1103/physreva.89.012317" @default.
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