dorsal/arxiv
View SchemaEnlargement of Calderbank Shor Steane quantum codes
| Authors | Andrew M. Steane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802061 |
| URL | https://arxiv.org/abs/quant-ph/9802061 |
| Journal | IEEE Trans.Info.Theor. 45 (1999) 2492-2495 |
Abstract
It is shown that a classical error correcting code C = [n,k,d] which contains its dual, C^{\perp} \subseteq C, and which can be enlarged to C' = [n,k' > k+1, d'], can be converted into a quantum code of parameters [[ n, k+k' - n, min(d, 3d'/2) ]]. This is a generalisation of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose Chaudhuri Hocquenghem (BCH) codes are discussed.
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"abstract": "It is shown that a classical error correcting code C = [n,k,d] which contains\nits dual, C^{\\perp} \\subseteq C, and which can be enlarged to C\u0027 = [n,k\u0027 \u003e k+1,\nd\u0027], can be converted into a quantum code of parameters [[ n, k+k\u0027 - n, min(d,\n3d\u0027/2) ]]. This is a generalisation of a previous construction, it enables many\nnew codes of good efficiency to be discovered. Examples based on classical Bose\nChaudhuri Hocquenghem (BCH) codes are discussed.",
"arxiv_id": "quant-ph/9802061",
"authors": [
"Andrew M. Steane"
],
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"quant-ph"
],
"journal_ref": "IEEE Trans.Info.Theor. 45 (1999) 2492-2495",
"title": "Enlargement of Calderbank Shor Steane quantum codes",
"url": "https://arxiv.org/abs/quant-ph/9802061"
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