Quantum Key Distribution using Continuous-variable non-Gaussian States

In this work we present a quantum key distribution protocol using continuous-variable non-Gaussian states, the Photon Added then Subtracted Coherent States, and post-selection. We analyse the protocol's performance by determining the secret key rate transmission when the non-authorized party (Eve) performs a superior channel (beam-splitter) attack. We show that, by using those non-Gaussian states, we may increase the secret key rate, when compared to a similar coherent (Gaussian) state based protocol, which would allow the generation of a secret key through longer distances.