Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes
<|reference_start|>Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes: Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to convolutional stabilizer codes based on direct limit constructions. Two families of quantum convolutional codes are derived from generalized Reed-Solomon codes and from Reed- Muller codes. A Singleton bound for pure convolutional stabilizer codes is given.<|reference_end|>
@article{aly2007quantum,
    title={Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller
  Codes},
    author={Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli},
    journal={arXiv preprint arXiv:quant-ph/0701037},
    year={2007},
    archivePrefix={arXiv},
    eprint={quant-ph/0701037},
    primaryClass={quant-ph cs.IT math.IT}
}