On the Transmission Probabilities in Quantum Key Distribution Systems Over FSO Links

In this paper, we investigate the transmission probabilities in three cases (depending only on legitimate receiver, depending eavesdropper, and both receiver eavesdropper) quantum key distribution (QKD) systems over free-space optical links. To be more realistic, consider a generalized pointing error scenario, where azimuth elevation angles caused by stochastic jitters vibrations platform are independently distributed according to non-identical normal distribution. Taking these assumptions into account, derive approximate expressions of using Gaussian quadrature method. simplify get some physical insights, asymptotic analysis is presented based expression for Marcum Q-function when telescope gain at approaches infinity. Moreover, from Q-function, outage probability Beckmann fading channels (a general channel model including Rayleigh, Rice, Hoyt channels) can also easily derived average signal-to-noise ratio sufficiently large, which shows diversity order array gain.