dorsal/arxiv
View SchemaClifford Code Constructions of Operator Quantum Error Correcting Codes
| Authors | Andreas Klappenecker, Pradeep Kiran Sarvepalli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604161 |
| URL | https://arxiv.org/abs/quant-ph/0604161 |
Abstract
Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This note introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field.
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"abstract": "Recently, operator quantum error-correcting codes have been proposed to unify\nand generalize decoherence free subspaces, noiseless subsystems, and quantum\nerror-correcting codes. This note introduces a natural construction of such\ncodes in terms of Clifford codes, an elegant generalization of stabilizer codes\ndue to Knill. Character-theoretic methods are used to derive a simple method to\nconstruct operator quantum error-correcting codes from any classical additive\ncode over a finite field.",
"arxiv_id": "quant-ph/0604161",
"authors": [
"Andreas Klappenecker",
"Pradeep Kiran Sarvepalli"
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"title": "Clifford Code Constructions of Operator Quantum Error Correcting Codes",
"url": "https://arxiv.org/abs/quant-ph/0604161"
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