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

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

2007-01-09

arxiv.org/abs/quant-ph/0701037v2

Physics

Quantum Physics

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

Scientific paper

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.

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