Infrared and Laser Engineering, Volume. 54, Issue 8, 20250226(2025)

Advances in LDPC codes for continuous-variable quantum key distribution: a comprehensive review

[in Chinese]1,2, Ming LI1,2, Shengzhi XU1,2, and Huimin CHEN1,2
Author Affiliations
  • 1College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin 300387, China
  • 2Tianjin Key Laboratory of Wireless Mobile Communications and Power Transmission, Tianjin Normal University, Tianjin 300387, China
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    Figures & Tables(10)
    Reconciliation based on channel coding theory
    Diagram of the MLC/MSD-like reconciliation scheme
    Diagram of the multi-level reverse reconciliation based on LDPC coding
    Diagram of the multi-dimensional reconciliation
    schematic of the isomorphic mapping method from \begin{document}$ {\mathbb{F}}_{2}^{{n}} $\end{document} to an n-dimensional spherical surface
    Schematic of the puncturing and shortening technologies
    Principle of the GPU-based parallel decoding process
    Example of converting type description into rate 0.1 TBP
    • Table 1. Progress on LDPC codes for data reconciliation in fiber CV-QKD

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      Table 1. Progress on LDPC codes for data reconciliation in fiber CV-QKD

      YearMethodCode rateSNRReconciliation efficiency β
      2006 [10]SEC/LDPC0.86388.7%
      2007[14]0.94-88.7%
      2008 [16]MD/LDPC0.26-89%
      2011[21]MD/MET-LDPC0.020.02996.9%
      2015[23]0.02-96.9%
      2017[17]SEC/LDPC-1/395.0%/95.2%
      2018 [23]MD/MET-LDPC0.1/0.05/0.020.159/0.075/0.02993.5/%95.4/%96.4%
      2018[26]0.1/0.05/0.020.160/0.075/0.02993.4%/95.8%/96.9%
      2018[27]MD/QC-MET-LDPC0.020.028499%
      2020 [29]0.1/0.05/0.020.161/0.076/0.0392.9%/94.6%/93.8%
      2021[30]MD/MET-LDPC0.01/0.02/0.050.014/0.028/0.07397.8%/98.8%/97.8%
      2021[32]0.07/0.06/0.030.119/0.094/0.04795.5%/95%/95.1%
      2023[34]MD/TBP-LDPC0.01/0.10.007/0.080
    • Table 2. Progress on LDPC codes for data reconciliation in free-space CV-QKD

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      Table 2. Progress on LDPC codes for data reconciliation in free-space CV-QKD

      YearMethodCode rateSNRReconciliation efficiency β
      2017, LEYVA[42]LDPC0.33-0.75--
      2020, YING[43]QC-LDPC0.33/0.32/0.310.65/0.64/0.6291%/89%/88%
      2024, KADIR[47]TBP-LDPC0.2-0.3-94%
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    [in Chinese], Ming LI, Shengzhi XU, Huimin CHEN. Advances in LDPC codes for continuous-variable quantum key distribution: a comprehensive review[J]. Infrared and Laser Engineering, 2025, 54(8): 20250226

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    Paper Information

    Category: Mini-reivew

    Received: Apr. 25, 2025

    Accepted: --

    Published Online: Aug. 29, 2025

    The Author Email:

    DOI:10.3788/IRLA20250226

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