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arXiv · quant-ph/0501099

Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes

G. David Forney, Jr.·Saikat Guha
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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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G. David Forney, Jr., Saikat Guha. 2005-01-18. Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes. https://doi.org/10.1109/isit.2005.1523495

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