dorsal/arxiv
View SchemaNonbinary Quantum Stabilizer Codes
| Authors | Alexei Ashikhmin, Emanuel Knill |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005008 |
| URL | https://arxiv.org/abs/quant-ph/0005008 |
Abstract
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over $GF_{4}$ and binary quantum codes to one between selforthogonal codes over $GF_{q^2}$ and $q$-ary quantum codes for any prime power $q$.
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"date_created": "2026-03-02T18:01:39.212000Z",
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"abstract": "We define and show how to construct nonbinary quantum stabilizer codes. Our\napproach is based on nonbinary error bases. It generalizes the relationship\nbetween selforthogonal codes over $GF_{4}$ and binary quantum codes to one\nbetween selforthogonal codes over $GF_{q^2}$ and $q$-ary quantum codes for any\nprime power $q$.",
"arxiv_id": "quant-ph/0005008",
"authors": [
"Alexei Ashikhmin",
"Emanuel Knill"
],
"categories": [
"quant-ph"
],
"title": "Nonbinary Quantum Stabilizer Codes",
"url": "https://arxiv.org/abs/quant-ph/0005008"
},
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