• DOI:10.1109/18.782103
Corpus ID: 1738302

Nonbinary quantum codes

@article{Rains1999NonbinaryQC,
  title={Nonbinary quantum codes},
  author={E. Rains},
  journal={IEEE Trans. Inf. Theory},
  year={1999},
  volume={45},
  pages={1827-1832}
}

E. Rains

Published 1999

Mathematics, Physics, Computer Science

IEEE Trans. Inf. Theory

We present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than two states). In particular, we consider codes derived from finite symplectic geometry assumed to have additional global symmetries. From this standpoint, the analogs of Calderbank-Shor-Steane codes and of GF(4)-linear codes turn out to be special cases of the same construction. This allows us to construct families of quantum codes from certain codes over number fields… CONTINUE READING

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