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Rate compatible reconciliation for continuous-variable quantum key distribution using Raptor-like LDPC codes

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Abstract

In the practical continuous-variable quantum key distribution (CV-QKD) system, the postprocessing process, particularly the error correction part, significantly impacts the system performance. Multi-edge type low-density parity-check (MET-LDPC) codes are suitable for CV-QKD systems because of their Shannon-limit-approaching performance at a low signal-to-noise ratio (SNR). However, the process of designing a low-rate MET-LDPC code with good performance is extremely complicated. Thus, we introduce Raptor-like LDPC (RL-LDPC) codes into the CV-QKD system, exhibiting both the rate compatible property of the Raptor code and capacity-approaching performance of MET-LDPC codes. Moreover, this technique can significantly reduce the cost of constructing a new matrix. We design the RL-LDPC matrix with a code rate of 0.02 and easily and effectively adjust this rate from 0.016 to 0.034. Simulation results show that we can achieve more than 98% reconciliation efficiency in a range of code rate variation using only one RL-LDPC code that can support high-speed decoding with an SNR less than −16.45 dB. This code allows the system to maintain a high key extraction rate under various SNRs, paving the way for practical applications of CV-QKD systems with different transmission distances.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Chao Zhou, XiangYu Wang, ZhiGuo Zhang & Song Yu

  2. State Key Laboratory of Advanced Optical Communication, Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing, 100871, China

    ZiYang Chen & Hong Guo

Authors
  1. Chao Zhou
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  2. XiangYu Wang
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  3. ZhiGuo Zhang
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  4. Song Yu
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  5. ZiYang Chen
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  6. Hong Guo
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Corresponding authors

Correspondence to XiangYu Wang or ZiYang Chen.

Additional information

This work was supported by the Key Program of National Natural Science Foundation of China (Grant No. 61531003), the National Natural Science Foundation of China (Grant No. 62001041), and the Fund of State Key Laboratory of Information Photonics and Optical Communications.

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Zhou, C., Wang, X., Zhang, Z. et al. Rate compatible reconciliation for continuous-variable quantum key distribution using Raptor-like LDPC codes. Sci. China Phys. Mech. Astron. 64, 260311 (2021). https://doi.org/10.1007/s11433-021-1688-4

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  • DOI: https://doi.org/10.1007/s11433-021-1688-4

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