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We have developed a method to calculate a secret key rate of acontinuous-variable quantum-key-distribution scheme using four coherent statesand postselection for a general model of Gaussian attacks. We assume that thetransmission line and detection process are described by a pair of Gaussianchannels. In our analysis, while the loss and noise on the transmission lineare induced by an eavesdropper, Eve, who can replace the transmission line witha lossless and noiseless optical fiber, she is assumed inaccessible to thedetection process. By separating the transmission noise and detection noise, wecan always extract a larger key compared with the case that all loss and noisesare induced by an eavesdropper's interference. An asymptotic key rate againstcollective Gaussian attacks can be determined numerically for the givenchannels' parameters. The improvement of the key rates turns out to be moresignificant for the reverse-reconciliation scheme.

Secret key rate of a continuous-variable quantum-key-distribution scheme when the detection process is inaccessible to eavesdroppers