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Recently, Yang et al. (Quantum Inf Process 18, 74, 2019) proposed a two-partyquantum key agreement protocol over a collective noisy channel. They claimedthat their quantum key agreement protocol can ensure both of the participantshave equal influence on the final shared key. However, this study shows thatthe participant who announces the permutation operation can manipulate thefinal shared key by himself/herself without being detected by the other. Toavoid this loophole, an improvement is proposed here.

Permutation attack and counterattack on the two-party quantum key agreement over a collective noisy channel