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Quantum Physics

arXiv:quant-ph/0701037 (quant-ph)
[Submitted on 9 Jan 2007 (v1), last revised 22 Jan 2007 (this version, v2)]

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

Authors: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.
Comments: 5 pages; updated parameters of classical (whence quantum) RM convolutional codes
Subjects: Quantum Physics (quant-ph); Information Theory (cs.IT)
Cite as: arXiv:quant-ph/0701037
  (or arXiv:quant-ph/0701037v2 for this version)
  https://doi.org/10.48550/arXiv.quant-ph/0701037

Submission history

From: Andreas Klappenecker [view email]
[v1] Tue, 9 Jan 2007 04:29:03 UTC (13 KB)
[v2] Mon, 22 Jan 2007 17:14:47 UTC (13 KB)
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