Deterministic measurement-device-independent quantum secret sharing

Multiparty quantum communication ensures information-theoretic security for transmitting private information among multiuser networks. In principle, measurement-device-independent (MDI) techniques can close all detection loopholes while usually utilizing large amounts of quantum resources in basis reconciliation. We propose a three-party MDI quantum secret sharing (QSS) protocol that is secure against all detection attacks and does not require any basis reconciliation, avoiding the corresponding waste arising from it. The proposed protocol allows a sender to divide a private message into two parts and send those parts to different receivers in a deterministic way. The message can only be read through cooperation between the two receivers. Finally, we discuss the generalized extension of a multiparty QSS protocol.