dorsal/arxiv
View SchemaQuantum Error Correction via Codes over GF(4)
| Authors | A. R. Calderbank, E. M Rains, P. W. Shor, N. J. A. Sloane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608006 |
| URL | https://arxiv.org/abs/quant-ph/9608006 |
Abstract
The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.
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"abstract": "The problem of finding quantum error-correcting codes is transformed into the\nproblem of finding additive codes over the field GF(4) which are\nself-orthogonal with respect to a certain trace inner product. Many new codes\nand new bounds are presented, as well as a table of upper and lower bounds on\nsuch codes of length up to 30 qubits.",
"arxiv_id": "quant-ph/9608006",
"authors": [
"A. R. Calderbank",
"E. M Rains",
"P. W. Shor",
"N. J. A. Sloane"
],
"categories": [
"quant-ph"
],
"title": "Quantum Error Correction via Codes over GF(4)",
"url": "https://arxiv.org/abs/quant-ph/9608006"
},
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