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Rate-Compatible LDPC Codes for Continuous-Variable Quantum Key Distribution in Wide Range of SNRs Regime.

Xiaodong Fan1,2, Quanhao Niu1,2, Tao Zhao1,2

  • 1Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China.

Entropy (Basel, Switzerland)
|July 8, 2023
PubMed
Summary

We developed rate-compatible low-density parity-compatible (LDPC) codes for continuous-variable quantum key distribution (CV-QKD) to handle noisy channels. This improves efficiency and key rates, even with unstable conditions.

Keywords:
LDPCcontinuous-variable quantum key distributionrate compatiblewide range of SNRs regime

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Area of Science:

  • Quantum Information Science
  • Coding Theory
  • Quantum Cryptography

Background:

  • Continuous-variable quantum key distribution (CV-QKD) faces challenges from variable quantum channel noise and low signal-to-noise ratios (SNRs).
  • Existing rate-compatible methods for CV-QKD are resource-intensive, consuming significant hardware and secret key resources.

Purpose of the Study:

  • To propose a novel design rule for rate-compatible low-density parity-compatible (LDPC) codes applicable to CV-QKD.
  • To enable coverage of all potential SNRs using a single check matrix for enhanced efficiency.

Main Methods:

  • Design of long block length rate-compatible LDPC codes with a single check matrix.
  • Implementation of these codes for information reconciliation in CV-QKD systems.

Main Results:

  • Achieved a high reconciliation efficiency of 91.80% in CV-QKD information reconciliation.
  • Demonstrated superior hardware processing efficiency and a lower frame error rate compared to existing schemes.
  • Attained a high practical secret key rate and extended transmission distance in unstable quantum channels.

Conclusions:

  • The proposed LDPC code design offers an efficient solution for CV-QKD under challenging channel conditions.
  • This approach significantly enhances the practicality and performance of CV-QKD systems.
  • The single check matrix design optimizes resource utilization while maintaining high security and reliability.