Simple family of nonadditive quantum codes.


Most known quantum codes are additive, meaning the code can be described as the simultaneous eigenspace of an Abelian subgroup of the Pauli group. While in some scenarios such codes are strictly suboptimal, very little is understood about how to construct nonadditive codes with good performance. Here we present a family of distance 2 nonadditive quantum… (More)


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@article{Smolin2007SimpleFO, title={Simple family of nonadditive quantum codes.}, author={John A. Smolin and Graeme Smith and Stephanie Wehner}, journal={Physical review letters}, year={2007}, volume={99 13}, pages={130505} }