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

A multi-party quantum key distribution protocol based on repetitive code is designed in this paper for the first time. First we encode the classical key sequence in accordance with this repetitive code. Then unitary transformation of the quantum state sequence corre-sponding to this encoded sequence is carried out by using the parameters from this (t, n) threshold protocol. Furthermore, we derive two thresholds for whether or not reserving the measured values of the received sequence, and extract the classical subkey sequence from the measured values conforming to these two threshold conditions. This protocol can authenticate the identity of the participant, resist the attack from the internal and external participants, and do not need the decoy state particles when testing the eaves-dropper, which is more efficient than the similar protocols, and also saves the quantum resources. (c) 2021 Published by Elsevier Inc.