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Conclusively, the advantages of the proposed TF-QDS protocol in signature rate and secure transmission distance are mainly due to the single-photon interference applied in the measurement module and precise matching of discrete phases. Besides, our TF-QDS shows the feasibility of experimental implementation with current devices in practical QDS system.This paper introduces a closed-form expression for the Kullback-Leibler divergence (KLD) between two central multivariate Cauchy distributions (MCDs) which have been recently used in diffe