Information Reconciliation for Continuous-Variable Quantum Key Distribution using Non-Binary Low-Density Parity-Check Codes

TL;DR

This paper introduces a new information reconciliation method for continuous-variable quantum key distribution using non-binary LDPC codes over various Galois fields, demonstrating high efficiency in simulations.

Contribution

It presents the construction and analysis of non-binary LDPC codes for CV-QKD, achieving near-optimal efficiency over a range of signal-to-noise ratios.

Findings

Efficiency between 0.94 and 0.98 achieved

Frame error rate analyzed via sum-product algorithm

Codes constructed over GF(8), GF(16), GF(32), GF(64)

Abstract

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with different code rates over the Galois fields $GF(8)$, $GF(16)$, $GF(32)$, and $GF(64)$ have been constructed. We have performed simulations to analyze the efficiency and the frame error rate using the sum-product algorithm. The proposed method achieves an efficiency between $0.94$ and $0.98$ if the signal-to-noise ratio is between $4$ dB and $24$ dB.