Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes
<|reference_start|>Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes: 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.<|reference_end|>
@article{forney,2005simple,
    title={Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting
  Codes},
    author={G. David Forney, Jr. and Saikat Guha},
    journal={arXiv preprint arXiv:quant-ph/0501099},
    year={2005},
    doi={10.1109/ISIT.2005.1523495},
    archivePrefix={arXiv},
    eprint={quant-ph/0501099},
    primaryClass={quant-ph cs.IT math.IT}
}