量子电子学报 ›› 2025, Vol. 42 ›› Issue (3): 354-360.doi: 10.3969/j.issn.1007-5461.2025.03.007

• 量子光学 • 上一篇    下一篇

基于极化码的低复杂度星地量子密钥分发实验密钥纠错方法

尹子欣 , 刘尉悦 *   

  1. 宁波大学信息科学与工程学院, 浙江 宁波 315211
  • 收稿日期:2023-09-21 修回日期:2023-11-14 出版日期:2025-05-28 发布日期:2025-05-28
  • 通讯作者: E-mail: liuweiyue@nbu.edu.cn E-mail: E-mail: liuweiyue@nbu.edu.cn
  • 作者简介:尹子欣 ( 1998 - ), 江西新余人, 研究生, 主要从事量子通信与应用方面的研究。 E-mail: yinzx98@163.com
  • 基金资助:
    浙江省自然科学基金 (LY21F050003)

Key error correction method with low complexity for satellite‐to‐ ground quantum key distribution experiment based on polar codes

YIN Zixin, LIU Weiyue   

  1. Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo 315211, China
  • Received:2023-09-21 Revised:2023-11-14 Published:2025-05-28 Online:2025-05-28

摘要: 纠错对于星地量子密钥分发 (QKD) 至关重要。在众多误码纠错算法中, 极化码有较高的编码效率和纠错 速度。在基于极化码的星地QKD系统中, 不仅卫星面临体积和功耗等问题, 地面站也在不断追求设备的集成化。为 了实现低成本的星地QKD设备, 本文提出了一种基于现场可编程门阵列 (FPGA) 的极化码连续删除(SC) 译码器, 该 译码器具有低硬件复杂度结构。分析表明, 该译码器在码长N为1024时, 能达到29.7 Mbit/s的吞吐率, 在硬件资源指 标查找表 (LUT)和触发器 (FF) 的消耗个数分别为线型结构译码器的5.7%和10%。进一步的仿真实验表明, 在典型 系统参数条件下, 该译码器在码长为64 K时, 其安全成码率达到27.9 kbit/s。

关键词: 量子光学, 低硬件复杂度, 现场可编程门阵列, 极化码, 误码纠错, 成码率

Abstract: Error correction is crucial for satellite-to-ground quantum key distribution (QKD). Among many error correction algorithms, polar codes have higher coding efficiency and error correction speed. In the satellite-to-ground QKD system based on polar codes, not only satellites face the problems such as volume, quality and power consumption, but also ground stations is constantly pursuing the integration of equipment. Therefore, in order to realize low-cost satellite-to-ground QKD equipment, a field programmable gate array (FPGA) based on successive cancellation (SC) decoder with low hardware complexity is proposed. The anaylsis shows that the decoder can achieve a throughput of 29.7 Mbit/s when the code length N is 1024, and the consumption numbers of the hardware resource indicator lookup table (LUT) and flip-flops (FF) are 5.7% and 10% of that of the linear structure decoder, respectively. Further satellite-to-ground QKD data reconciliation simulation experiments show that under the conditions of typical system parameters, when the code length is 64 K, the security rate of the decoder can reach 27.9 kbit/s.

Key words: quantum optics, low hardware complexity, field-programmable gate array, polar codes, data reconciliation, bit rate

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