dorsal/arxiv
View SchemaSimple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes
| Authors | G. David Forney, Jr., Saikat Guha |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501099 |
| URL | https://arxiv.org/abs/quant-ph/0501099 |
| DOI | 10.1109/ISIT.2005.1523495 |
Abstract
Simple rate-1/3 single-error-correcting unrestricted and CSS-type quantum convolutional codes are constructed from classical self-orthogonal $\F_4$-linear and $\F_2$-linear convolutional codes, respectively. These quantum convolutional codes have higher rate than comparable quantum block codes or previous quantum convolutional codes, and are simple to decode. A block single-error-correcting [9, 3, 3] tail-biting code is derived from the unrestricted convolutional code, and similarly a [15, 5, 3] CSS-type block code from the CSS-type convolutional code.
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"date_modified": "2026-03-02T18:02:13.039000Z",
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"abstract": "Simple rate-1/3 single-error-correcting unrestricted and CSS-type quantum\nconvolutional codes are constructed from classical self-orthogonal\n$\\F_4$-linear and $\\F_2$-linear convolutional codes, respectively. These\nquantum convolutional codes have higher rate than comparable quantum block\ncodes or previous quantum convolutional codes, and are simple to decode. A\nblock single-error-correcting [9, 3, 3] tail-biting code is derived from the\nunrestricted convolutional code, and similarly a [15, 5, 3] CSS-type block code\nfrom the CSS-type convolutional code.",
"arxiv_id": "quant-ph/0501099",
"authors": [
"G. David Forney, Jr.",
"Saikat Guha"
],
"categories": [
"quant-ph",
"cs.IT",
"math.IT"
],
"doi": "10.1109/ISIT.2005.1523495",
"title": "Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes",
"url": "https://arxiv.org/abs/quant-ph/0501099"
},
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