Beyond Stabilizer Codes I: Nice Error Bases
<|reference_start|>Beyond Stabilizer Codes I: Nice Error Bases: Nice error bases have been introduced by Knill as a generalization of the Pauli basis. These bases are shown to be projective representations of finite groups. We classify all nice error bases of small degree, and all nice error bases with abelian index groups. We show that in general an index group of a nice error basis is necessarily solvable.<|reference_end|>
@article{klappenecker2000beyond,
    title={Beyond Stabilizer Codes I: Nice Error Bases},
    author={Andreas Klappenecker (Texas A&M University), Martin Roetteler
  (Universitaet Karlsruhe)},
    journal={IEEE Transactions on Information Theory, vol. 48, no. 8, pp.
  2392-2395, 2002},
    year={2000},
    archivePrefix={arXiv},
    eprint={quant-ph/0010082},
    primaryClass={quant-ph cs.ET}
}