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We consider the strong secret key (SK) agreement problem for the satellitecommunication setting, where a satellite chooses a common binary phase shiftkeying modulated input for three statistically independent additive whiteGaussian noise measurement channels whose outputs are observed by twolegitimate transceivers (Alice and Bob) and an eavesdropper (Eve),respectively. Legitimate transceivers have access to an authenticated,noiseless, two-way, and public communication link, so they can exchangemultiple rounds of public messages to agree on a SK hidden from Eve. Withoutloss of essential generality, the noise variances for Alice's and Bob'smeasurement channels are both fixed to a value $Q>1$, whereas the noise overEve's measurement channel has a unit variance, so $Q$ represents a channelquality ratio. We show that when both legitimate transceivers apply a one-bituniform quantizer to their noisy observations before SK agreement, the SKcapacity decreases at least quadratically in $Q$.

Effects of Quantization on the Multiple-Round Secret-Key Capacity