Measurement-device-independent entanglement witness (MDI-EW) will always give an affirmative certification for witnessing entanglement with untrusted measurement apparatuses. Using the MDI-EW method, we propose a measurement-device-independent quantum secret sharing (MDI-QSS) protocol that Charlie can securely distribute a key between the two agents Alice and Bob. A tight bound for collective attacks can provide good bounds on the long-distance MDI-QSS with source flaws. Then we show through numerical simulations that using single-photon source a secure QSS over 136 km can be achieved.
@article{arxiv.1608.00114,
title = {Measurement-device-independent quantum secret sharing},
author = {Xiuqing Yang and Kejin Wei and Haiqiang Ma and Shihai Sun and Hongwei Liu and Zuohan Li and Zhenqiang Yin and Yungang Du and Lingan Wu},
journal= {arXiv preprint arXiv:1608.00114},
year = {2017}
}