High-dimensional temporal mode propagation in a turbulent environment

Temporal modes of photonic quantum states, intrinsically possess high dimensional Hilbert spaces, provide a new framework to develop robust free-space key distribution (QKD) scheme in maritime environment. We show that the high-dimensional temporal can be used fulfill persistent communication channel achieve photon-efficiency even severe weather conditions. identify parameter regimes allow for high-fidelity information transmission. also examine how turbulent environment affects fidelity and entanglement degree various environmental settings.