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