Security proof of quantum key distribution with detection-efficiency mismatch

Yanbao Zhang,1, 2, 3, 4 Patrick Coles,3, 4, 5 Adam Winick,3 and Norbert Lütkenhaus3, 4 NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan NTT Research Center for Theoretical Quantum Physics, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, US