Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes
量子物理
2007-07-13 v2 信息论
math.IT
摘要
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.
引用
@article{arxiv.quant-ph/0701037,
title = {Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes},
author = {Salah A. Aly and Andreas Klappenecker and Pradeep Kiran Sarvepalli},
journal= {arXiv preprint arXiv:quant-ph/0701037},
year = {2007}
}
备注
5 pages; updated parameters of classical (whence quantum) RM convolutional codes