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

نویسندگان

  • Salah A. Aly
  • Andreas Klappenecker
  • Pradeep Kiran Sarvepalli
چکیده

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 ReedMuller codes. A Singleton bound for pure convolutional stabilizer codes is given.

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عنوان ژورنال:
  • CoRR

دوره abs/quant-ph/0701037  شماره 

صفحات  -

تاریخ انتشار 2007