Distributional Transform Based Information Reconciliation

In this paper we present an information reconciliation protocol designed for Continuous-Variable QKD using the Distributional Transform. By combining tools from copula and information theories, we present a method for extracting independent symmetric Bernoulli bits for Gaussian modulated CVQKD protocols, which we called the Distributional Transform Expansion (DTE). We derived the expressions for the maximum reconciliation efficiency for both homodyne and heterodyne measurement, which, for the last one, efficiency greater than 0.9 is achievable at signal to noise ratio lower than -3.6 dB