Stabilizer code

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An $[n, k]$ stabilizer code is defined to be the vector space $V S$ stabilized by a subgroup $S$ of $G n$ such that $-I\notin S$ and $S$ has $n - k$ independent and commuting generators, $S=\langle g_1,\ldots,g_{n-k}\rangle$ . These conditions are are required so that the vector space stabilized is non-trivial. Denote this code $C (S)$ .

[edit] References

D. Gottesman, "Stabilizer codes and quantum error correction," quant-ph/9705052, Caltech Ph.D. thesis. http://arxiv.org/abs/quant-ph/9705052

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