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Recently, Li et al. (Int J Theor Phys: DOI: 10.1007/s10773-020-04588-w, 2020)proposed a multiparty quantum key agreement protocol via non-maximallyentangled cluster states. They claimed that the proposed protocol can help allthe involved participants have equal influence on the final shared key.However, this study points out a loophole that makes Li et al.'s protocolsuffer from a collusion attack, i.e. several dishonest participants canconspire to manipulate the final shared key without being detected by others.To avoid this loophole, an improvement is proposed here.

Collusion attack and counterattack on the quantum key agreement via non-maximally entangled cluster states