Information Reconciliation for Continuous-Variable Quantum Key   Distribution using Non-Binary Low-Density Parity-Check Codes
  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. 
Christoph Pacher, Jesus Martinez-Mateo, J\"org Duhme, Tobias Gehring,   and Fabian Furrer
quant-ph cs.IT math.IT