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

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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.
5 pages; updated parameters of classical (whence quantum) RM convolutional codes

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Quantum Physics, Information Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/134059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0701037
 http://arxiv.org/abs/quant-ph/0701037

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arXiv