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

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.

author list (cited authors)

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

publication date

  • January 1, 2007 11:11 AM