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Two quantum broadcasting multi-signature schemes are presented: one is used to sign classical digital messages and the other to sign quantum messages. The quantum one-way function is used to realize signature and verification in the digital multi-signature scheme, while quantum teleportation is used in the quantum multi-signature scheme. The proposed schemes support infinite amounts of signatories and provide a novel and experimentally feasible method to construct multi-signature quantum signature systems within current technology.
Wen et al. (Tue,) studied this question.