dorsal/arxiv
View SchemaA nonadditive quantum code
| Authors | Eric M. Rains, R. H. Hardin, Peter W. Shor, N. J. A. Sloane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703002 |
| URL | https://arxiv.org/abs/quant-ph/9703002 |
| DOI | 10.1103/PhysRevLett.79.953 |
| Journal | Phys.Rev.Lett.79:953-954,1997 |
Abstract
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type. It encodes six states in five qubits and can correct the erasure of any single qubit.
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"abstract": "Up to now every good quantum error-correcting code discovered has had the\nstructure of an eigenspace of an Abelian group generated by tensor products of\nPauli matrices; such codes are known as stabilizer or additive codes. In this\nletter we present the first example of a code that is better than any code of\nthis type. It encodes six states in five qubits and can correct the erasure of\nany single qubit.",
"arxiv_id": "quant-ph/9703002",
"authors": [
"Eric M. Rains",
"R. H. Hardin",
"Peter W. Shor",
"N. J. A. Sloane"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.79.953",
"journal_ref": "Phys.Rev.Lett.79:953-954,1997",
"title": "A nonadditive quantum code",
"url": "https://arxiv.org/abs/quant-ph/9703002"
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