Abstract
In this paper, an orbital angular momentum (OAM)-encoded measurement device independent quantum key distribution (MDI-QKD) under atmospheric turbulence is analyzed. The turbulent effect on scattering the OAM states is quantified by the probability of receiving the initial OAM modes, in conjunction with Kolmogorov and non-Kolmogorov models. The key rates of the OAM-encoded MDI-QKD are obtained under various turbulent intensity. Simulation results show that with the increase in radial coordinate, the initial OAM states are gradually diverted to adjacent modes and eventually tend to be randomly distributed. Furthermore, the OAM-encoded MDI-QKD has a slightly longer maximum transmission distance than that of the polarization-encoded MDI-QKD.
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