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Paper 1
Two infinite families of nonadditive quantum error-correcting codes
Sixia Yu, Qing Chen, C. H. Oh
- Year
- 2009
- Journal
- arXiv preprint
- DOI
- arXiv:0901.1935
- arXiv
- 0901.1935
We construct explicitly two infinite families of genuine nonadditive 1-error correcting quantum codes and prove that their coding subspaces are 50% larger than those of the optimal stabilizer codes of the same parameters via the linear programming bound. All these nonadditive codes can be characterized by a stabilizer-like structure and thus their encoding circuits can be designed in a straightforward manner.
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