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Paper 1
Decoding color codes by projection onto surface codes
Nicolas Delfosse
- Year
- 2013
- Journal
- arXiv preprint
- DOI
- arXiv:1308.6207
- arXiv
- 1308.6207
We propose a new 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.
Open paperPaper 2
Fault tolerance with noisy and slow measurements and preparation.
Paz-Silva GA, Brennen GK, Twamley J.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.105.100501
- arXiv
- -
No abstract.
Open paper