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Quantum Physics

arXiv:quant-ph/0701020 (quant-ph)
[Submitted on 5 Jan 2007 (v1), last revised 28 Aug 2010 (this version, v4)]

Title:Quantum Quasi-Cyclic LDPC Codes

Authors:Manabu Hagiwara, Hideki Imai
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Abstract:In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our proposed codes have lots of variations for length, code rate. These codes are obtained by a descrete mathematical characterization for model matrices of quasi-cyclic LDPC codes.
Our proposed codes achieve a bounded distance decoding (BDD) bound, or known as VG bound, and achieve a lower bound of the code length.
Comments: 18 pages, 1 figures, published in proc. of ISIT 2007, (2007 IEEE International Symposium on Information Theory)
Subjects: Quantum Physics (quant-ph); Information Theory (cs.IT); Mathematical Physics (math-ph); Combinatorics (math.CO)
Cite as: arXiv:quant-ph/0701020
  (or arXiv:quant-ph/0701020v4 for this version)
  https://doi.org/10.48550/arXiv.quant-ph/0701020
Related DOI: https://doi.org/10.1109/ISIT.2007.4557323

Submission history

From: Manabu Hagiwara [view email]
[v1] Fri, 5 Jan 2007 10:36:46 UTC (229 KB)
[v2] Wed, 18 Apr 2007 07:13:49 UTC (231 KB)
[v3] Thu, 13 May 2010 04:57:03 UTC (233 KB)
[v4] Sat, 28 Aug 2010 11:46:17 UTC (141 KB)
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