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In this paper, we present a novel log-log domain sum-product algorithm (SPA)for decoding low-density parity-check (LDPC) codes in continuous-variablequantum key distribution (CV-QKD) systems. This algorithm reduces thefractional bit width of decoder messages, leading to a smaller memory footprintand a lower resource consumption in hardware implementation. We also providepractical insights for fixed-point arithmetic and compare our algorithm withthe conventional SPA in terms of performance and complexity. Our results showthat our algorithm achieves comparable or better decoding accuracy than theconventional SPA while saving at least $25\%$ of the fractional bit width.

Log-Log Domain Sum-Product Algorithm for Information Reconciliation in Continuous-Variable Quantum Key Distribution