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A multi-party quantum key distribution protocol based on repetitive code isdesigned for the first time in this paper. First we establish a classical (t,n) threshold protocol which can authenticate the identity of the participants,and encode the classical key sequence in accordance with this repetitive code.Then unitary transformation of the quantum state sequence corresponding to thisencoded sequence is carried out by using the parameters from this (t, n)threshold protocol. Furthermore, we derive two thresholds for whether or notreserving the measured values of the received sequence, and extract theclassical subkey sequence from the measured values conforming to these twothreshold conditions. This protocol can authenticate the identity of theparticipant, resist the attack from the internal and external participants, anddo not need the decoy state particles when testing the eavesdropper, which ismore efficient than the similar protocols, and also saves the quantumresources.

A verifiable multi-party quantum key distribution protocol based on repetitive codes