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

2007/01/09 by Aly, Salah A., Klappenecker, Andreas, Sarvepalli, Pradeep Kiran
#FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.quant-ph/0701037

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.

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