0701037v2

related topics
{error, code, errors}
{let, theorem, proof}
{states, state, optimal}
{group, space, representation}
{algorithm, log, probability}

Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes

Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/0701037
categories:
quant-ph cs.IT math.IT
comments:
5 pages; updated parameters of classical (whence quantum) RM convolutional codes
arxiv_id:
quant-ph/0701037
created:
2007-01-08
updated:
2007-01-22

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