Fig. 8: Optical satellite-to-ground transmission.

The total transmittance is given by ηsg = ηfsηatm, where the free-space transmittance ηfs given by eq. (9), and the atmospheric transmittance ηatm is given by eq. (11). Top—two ground stations g1 and g2 are separated by a distance d with a satellite at altitude h at the midpoint. Both ground stations are the same distance L away from the satellite, so that the total transmittance for two-qubit entanglement transmission (one qubit to each ground station) is \({\eta }_{\,\text{sg}\,}^{2}\). Bottom—plots of the transmittance \({\eta }_{\,\text{sg}\,}^{2}\) as a function of d and h.