  As a promising quantum key distribution (QKD), most of the existing
round-robin differential-phase-shift quantum key distribution (RRDPS-QKD)
protocols have adopted the decoy-state method and have assumed the source
states are exactly controlled. However, the precise manipulation of source
states is impossible for any practical experiment, and the RRDPS-QKD with
source errors has an unignorable impact on the performance of the protocol. In
the paper, we study the three-intensity decoy-state RRDPS-QKD protocol with
source errors, formulate the secure generation key rate of the proposed
protocol, do the numerical simulations to testify the deductions. The results
show that our evaluation can estimate the influence of source errors.
