Correction to: Scientific Reports https://doi.org/10.1038/s41598-019-53435-4, published online 19 November 2019


This Article contains typographical errors in the Introduction.


“Recently, we became aware that the single-photon based protocol and its key rate formula, Eq. (3) presented in Ref. [21] are actually same with the earlier protocol, sending-or-not-sending protocol proposed by Wang et al. We thank authors of Ref. [22] for pointing out this.”


should read:


“Recently, we became aware that the single-photon based protocol and its key rate formula, Eq. (3) presented in Ref. [22] are actually same with the earlier protocol [21], sending-or-not-sending protocol proposed by Wang et al. We thank authors of Ref. [21] for pointing out this.”