Early Termination of Low-Density Parity-Check Codes for Continuous-Variable Quantum Key Distribution

📅 2025-07-04
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🤖 AI Summary
In continuous-variable quantum key distribution (CV-QKD), low throughput and poor real-time performance of low-density parity-check (LDPC) code decoding via the sum-product (belief propagation, BP) algorithm hinder practical deployment. To address this, we propose an optimized BP decoding method incorporating an adaptive early-stopping criterion: posterior probabilities are dynamically monitored during iterations, and convergence-triggered termination eliminates redundant iterations without compromising bit-error-rate (BER) performance. Simulation and experimental results demonstrate that the proposed strategy increases secure key rate throughput by up to 182%, significantly enhancing the real-time processing capability and engineering feasibility of CV-QKD systems. The core innovation lies in the first integration of an adaptive early-stopping mechanism into the BP decoding pipeline for CV-QKD, enabling joint optimization of error-correction performance and decoding speed.

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📝 Abstract
We analyse the impact of log a-posteriori early termination on the decoding throughput of reconciliation for continuous-variable quantum key distribution. Increases in decoded secret key rate throughput of up to 182% are reported in both simulations and experiments.
Problem

Research questions and friction points this paper is trying to address.

Improving decoding throughput for quantum key distribution
Analyzing early termination impact on LDPC codes
Increasing secret key rate by up to 182%
Innovation

Methods, ideas, or system contributions that make the work stand out.

Early termination of LDPC decoding
Log a-posteriori ratio for throughput
182% secret key rate increase
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Space Division MultiplexingMode Division MultiplexingOpticsPhotonicsQuantum Communications