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

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.

authors

• Klappenecker, Andreas

published proceedings

• CoRR

author list (cited authors)

• Aly, S. A., Klappenecker, A., & Sarvepalli, P. K.

complete list of authors

• Aly, Salah A||Klappenecker, Andreas||Sarvepalli, Pradeep Kiran

publication date

• January 2007

keywords

• Cs.it
• Math.it
• Quant-ph

volume

• abs/quant-ph/0701037