Chinese Optics Letters, Volume. 17, Issue 11, 112701(2019)

High efficiency continuous-variable quantum key distribution based on QC-LDPC codes

Ying Guo1, Kangshuai Wang1, Duan Huang1、*, and Xueqin Jiang2
Author Affiliations
  • 1School of Computer Science and Engineering, Central South University, Changsha 410083, China
  • 2School of Information Science and Technology, Donghua University, Shanghai 201620, China
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    Figures & Tables(9)
    H matrix and the corresponding tanner graph of (6,4) LDPC code.
    Schematic diagram of base matrix expansion.
    Performance of constructed LDPC codes with R=22/68, Z=64\96\128\192\256\384. Code length =4325\6528\8704\13,056\17,408\26,612 bits, binary phase-shift keying (BPSK) modulation, max iteration num=50.
    performance of constructed LDPC codes with R=10/52, Z=80\128\160\256\320\384. Code length =4160\6656\8320\13,312\16,640\19,968 bits, binary phase-shift keying (BPSK) modulation, max iteration num=50.
    Experimental setup of CVQKD scheme based on GG02 protocol. CW laser, continuous-wave laser; BS, beam splitter; AM, amplitude modulator; PM, phase modulator; ATT, attenuator.
    (a) FER values of constructed QC-LDPC codes with rates 1/4 and 10/52. (b) FER values of constructed QC-LDPC codes with rates 1/3 and 22/68. Both (a) and (b) are binary phase-shift keying (BPSK) modulation, max iteration num=500, frame num=10,000. (c) Reconciliation efficiency of the QC-LDPC codes for FERs of 0.5, 0.1, 0.01, and 0.001.
    Secret key rate as a function of distance for a CVQKD system with a homodyne detector, excess noise ϵ=0.01, detection efficiency η=0.6, electronic noise Vel=0.01, and the attenuation factor α of the quantum channel set to be 0.2 dB/km. Pinkish-red dashed curve and blue dashed curve show the QC-LDPC codes (length 62,800, rates 1/4 and 1/3) in the DVB-S2 protocol, respectively. Red solid curve shows the QC-LDPC code (length 68,000, rate 22/68) in the 5G protocol.
    • Table 1. Two Types of BGs Given in the 5G Protocol

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      Table 1. Two Types of BGs Given in the 5G Protocol

      FamilykbpbCore SizeMatrix Sizermaxrmin
      BG #12225×2746×6822/251/3
      BG #21027×1742×522/31/5
    • Table 2. Sets of LDPC Lifting Size Z

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      Table 2. Sets of LDPC Lifting Size Z

      Set Index (iLS)Set of Lifting Size (Z)
      02, 4, 8, 32, 64, 128, 256
      13, 6, 12, 24, 48, 96, 192, 384
      25, 10, 20, 40, 80, 160, 320
      37, 14, 28, 56, 112, 224
      49, 18, 36, 72, 144, 288
      511, 22, 44, 88, 176, 352
      613, 26, 52, 104, 208
      715, 30, 60, 120, 240
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    Ying Guo, Kangshuai Wang, Duan Huang, Xueqin Jiang, "High efficiency continuous-variable quantum key distribution based on QC-LDPC codes," Chin. Opt. Lett. 17, 112701 (2019)

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    Paper Information

    Category: Quantum optics

    Received: Apr. 8, 2019

    Accepted: Jun. 26, 2019

    Posted: Jun. 27, 2019

    Published Online: Sep. 16, 2019

    The Author Email: Duan Huang (duanhuang@csu.edu.cn)

    DOI:10.3788/COL201917.112701

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