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The conventional omnipotent eavesdropper assumption in quantum cryptographystudy can be too strict for some realistic scenarios. In this paper, we studythe secret key distillation over a satellite-to-satellite free space opticschannel in which we assume that the eavesdropper (Eve) is restricted in herability of power collection due to the limited size of her aperture but canchange the position of her aperture to gain advantages over the communicationparties (Alice and Bob) and we determine the achievable key rate lower andupper bounds with respect to different scenarios. We first study the case whereEve is behind Bob and we prove that the optimal eavesdropping strategy for herin long-distance transmission case is to place her aperture on the beamtransmission axis and set Bob-to-Eve distance equal to Alice-to-Bob distance.We also show that the achievable key rate would be characterized by a Besselfunction integral related to Eve's position in a short-distance transmissioncase. We then investigate the case where Eve is before Bob and show similarresults with Eve's and Bob's roles exchanged.

Secret Key Distillation over Satellite-to-satellite Free-space Optics Channel with Eavesdropper Dynamic Positioning