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IEEE International Conference on Electronics Information and Emergency Communication

Improve the maximum transmission distance of no-switching continuous-variable quantum key distribution by using a noiseless linear amplifier

Yichen Zhang, Mingyang Xu, Shulong Han, Song Yu, Wanyi Gu

Published Nov 1, 2013• 1 citation
Publisher

Abstract

We propose a modified no-switching continuous-variable quantum key distribution protocol to improve the secret key rate and maximum transmission distance by inserting a noiseless linear amplifier at the output of quantum channel. Security analysis shows that a noiseless linear amplifier with gain g can increase the maximum transmission distance of no-switching protocol by 100log10g km

DOI
10.1109/iceiec.2013.6835441

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We propose a modified no-switching continuous-variable quantum key distribution protocol to improve the secret key rate and maximum transmission distance by inserting a noiseless linear amplifier at the output of quantum channel. Security analysis shows that a noiseless linear amplifier with gain g can increase the maximum transmission distance of no-switching protocol by 100log10g km
We characterize a modified continuous-variable quantum key distribution (CV-QKD) protocol with four states in the middle of a quantum channel. In this protocol, two noiseless linear amplifiers (NLAs) are inserted before each detector of the two parts, Alice and Bob, with the purpose of increasing the secret key rate and the maximum transmission distance. We present the performance analysis of the new four-state CV-QKD protocol over a Gaussian lossy and noisy channel. The simulation results show that the NLAs with a reasonable gain g can effectively enhance the secret key rate as well as the maximum transmission distance, which is generally satisfied in practice.
We show that the maximum transmission distance of continuous-variable quantum key distribution in presence of a Gaussian noisy lossy channel can be arbitrarily increased using a heralded noiseless linear amplifier. We explicitly consider a protocol using amplitude- and phase-modulated coherent states with reverse reconciliation. Assuming that the secret key rate drops to zero for a line transmittance Tlim{T}_{\mathrm{lim}}Tlim​, we find that a noiseless amplifier with amplitude gain ggg can improve this value to Tlim/g2{T}_{\mathrm{lim}}/{g}^{2}Tlim​/g2, corresponding to an increase in distance proportional to logg\mathrm{log}glogg.
A modified four-state CVQKD protocol is proposed to increase the maximum transmission distance and tolerable excess noise in the presence of Gaussian lossy and noisy channel by using a noiseless linear amplifier (NLA). An ideal NLA with gain ggg can increase the maximum admission losses by 20log10g20{\mathrm{log}}_{10}g20log10​g dB. Further, the imperfections in a practical NLA, such as the finite detection efficiency and imperfect single-photon source, are included in consideration.