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A modified four-state CVQKD protocol is proposed to increase the maximumtransmission distance and tolerable excess noise in the presence of Gaussianlossy and noisy channel by using a noiseless linear amplifier (NLA). A NLA withamplitude gain g can increase the maximum admission losses by 20log(g) dB.

Improve the Maximum Transmission Distance of Four-State Continuous Variable Quantum Key Distribution by using a Noiseless Linear Amplifier