dorsal/arxiv
View SchemaQuantum Error Correction and Orthogonal Geometry
| Authors | A. R. Calderbank, E. M Rains, P. W. Shor, N. J. A. Sloane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9605005 |
| URL | https://arxiv.org/abs/quant-ph/9605005 |
| DOI | 10.1103/PhysRevLett.78.405 |
| Journal | Phys.Rev.Lett.78:405-408,1997 |
Abstract
A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.
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"abstract": "A group theoretic framework is introduced that simplifies the description of\nknown quantum error-correcting codes and greatly facilitates the construction\nof new examples. Codes are given which map 3 qubits to 8 qubits correcting 1\nerror, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors,\nand 1 to 29 qubits correcting 5 errors.",
"arxiv_id": "quant-ph/9605005",
"authors": [
"A. R. Calderbank",
"E. M Rains",
"P. W. Shor",
"N. J. A. Sloane"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.78.405",
"journal_ref": "Phys.Rev.Lett.78:405-408,1997",
"title": "Quantum Error Correction and Orthogonal Geometry",
"url": "https://arxiv.org/abs/quant-ph/9605005"
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