dorsal/arxiv
View SchemaBeyond Stabilizer Codes I: Nice Error Bases
| Authors | Andreas Klappenecker, Martin Roetteler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010082 |
| URL | https://arxiv.org/abs/quant-ph/0010082 |
| Journal | IEEE Transactions on Information Theory, vol. 48, no. 8, pp. 2392-2395, 2002 |
Abstract
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.
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"abstract": "Nice error bases have been introduced by Knill as a generalization of the\nPauli basis. These bases are shown to be projective representations of finite\ngroups. We classify all nice error bases of small degree, and all nice error\nbases with abelian index groups. We show that in general an index group of a\nnice error basis is necessarily solvable.",
"arxiv_id": "quant-ph/0010082",
"authors": [
"Andreas Klappenecker",
"Martin Roetteler"
],
"categories": [
"quant-ph",
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],
"journal_ref": "IEEE Transactions on Information Theory, vol. 48, no. 8, pp.\n 2392-2395, 2002",
"title": "Beyond Stabilizer Codes I: Nice Error Bases",
"url": "https://arxiv.org/abs/quant-ph/0010082"
},
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