Li Yuan(李渊)a)†, Zeng Gui-Hua(曾贵华)a), and Moon Ho Leeb)
a Laboratory of Coding and Communication Security, Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China; b Institute of Information & Communication, Department of Information & Communication Engineering, Chonbuk National University, Chonju 561-756, Korea
In this paper, we propose the approach of employing circulant permutation matrices to construct quantum quasi-cyclic (QC) low-density parity-check (LDPC) codes. Using the proposed approach one may construct some new quantum codes with various lengths and rates of no cycles-length 4 in their Tanner graphs. In addition, these constructed codes have the advantages of simple implementation and low-complexity encoding. Finally, the decoding approach for the proposed quantum QC LDPC is investigated.
Received: 03 September 2007
Revised: 14 October 2008
Accepted manuscript online:
PACS:
84.40.Ua
(Telecommunications: signal transmission and processing; communication satellites)
(Quantum error correction and other methods for protection against decoherence)
Fund:
Project supported by the National Natural Science Foundation of China (Grant Nos 60773085 and 60801051), and the NSFC-KOSEF International Collaborative Research Funds (Grant Nos 60811140346 and F01-2008-000-10021-0).
Cite this article:
Li Yuan(李渊), Zeng Gui-Hua(曾贵华), and Moon Ho Lee Quantum quasi-cyclic low-density parity-check error-correcting codes 2009 Chin. Phys. B 18 4154
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
