High speed error correction for continuous-variable quantum key distribution with multi-edge type LDPC code

Scientific Reports
Xiangyu WangHong Guo

Abstract

Error correction is a significant step in postprocessing of continuous-variable quantum key distribution system, which is used to make two distant legitimate parties share identical corrected keys. We propose an experiment demonstration of high speed error correction with multi-edge type low-density parity check (MET-LDPC) codes based on graphic processing unit (GPU). GPU supports to calculate the messages of MET-LDPC codes simultaneously and decode multiple codewords in parallel. We optimize the memory structure of parity check matrix and the belief propagation decoding algorithm to reduce computational complexity. Our results show that GPU-based decoding algorithm greatly improves the error correction speed. For the three typical code rate, i.e., 0.1, 0.05 and 0.02, when the block length is 106 and the iteration number are 100, 150 and 200, the average error correction speed can be respectively achieved to 30.39 Mbits/s (over three times faster than previous demonstrations), 21.23 Mbits/s and 16.41 Mbits/s with 64 codewords decoding in parallel, which supports high-speed real-time continuous-variable quantum key distribution system.

References

Aug 5, 1991·Physical Review Letters·A K Ekert
Feb 28, 2002·Physical Review Letters·Frédéric Grosshans, Philippe Grangier
Oct 26, 2002·Physical Review Letters·Ch SilberhornG Leuchs
Jan 17, 2003·Nature·Frédéric GrosshansPhilippe Grangier
Nov 5, 2004·Physical Review Letters·Christian WeedbrookPing Koy Lam
Apr 3, 2013·Scientific Reports·Jesus Martinez-MateoVicente Martin

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