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

Salah A. Aly·Andreas Klappenecker·Pradeep Kiran Sarvepalli
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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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Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli. 2007-01-22. Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes. https://arxiv.org/abs/quant-ph/0701037

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