Quantum key distribution with an unknown and untrusted source

摘要: The security of a standard bidirectional ``plug-and-play'' quantum key distribution (QKD) system has been an open question for long time. This is mainly because its source equivalently controlled by eavesdropper, which means the unknown and untrusted. Qualitative discussion on this subject made previously. In paper, we solve directly presenting quantitative analysis general class QKD protocols whose sources are securities Bennett-Brassard 1984 protocol, $\text{weak}+\text{vacuum}$ decoy state one-decoy with untrusted rigorously proved. We derive rigorous lower bounds to secure generation rates above three protocols. Our numerical simulation results show that gives rate close trusted source.