Asymmetric "4+2" protocol for quantum key distribution with finite resources

作者:Kang, GuoDong*; Zhou, QingPing; Fang, MaoFa; Zhang, YanLiang
来源:Quantum Information Processing, 2014, 13(1): 5-20.
DOI:10.1007/s11128-013-0684-8

摘要

In this paper, we present an asymmetric "4+2" protocol for quantum key distribution with finite photon pulses. The main work of this paper focuses on the composable security proof for this protocol in a finite-key scenario. Based on the essence security basis of the original "4+2" protocol proposed by Huttner et al. (Phys Rev A 51(3):1863-1869, 1995), we first develop the squashing model for this protocol with the quantum non-demolition measure theory. From this model, against the collective photon-number-splitting attack, we then provide the security proof (formulas of finite-key security bounds) for this protocol. The expected performance of this protocol are also evaluated on a priori reasonable expected values of parameters. Our work shows that the performance we derived is the lower one and it can cover long distances in the lossy channel.