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As an essential ingredient of quantum networks, quantum conference keyagreement (QCKA) provides unconditional secret keys among multiple parties,which enables only legitimate users to decrypt the encrypted message. Recently,some QCKA protocols employing twin-field was proposed to promote transmissiondistance. These protocols, however, suffer from relatively low conference keyrate and short transmission distance over asymmetric channels, which demands aprompt solution in practice. Here, we consider a tripartite QCKA protocolutilizing the idea of sending-or-not-sending twin-field scheme and propose ahigh-efficiency QCKA over asymmetric channels by removing the symmetryparameters condition. Besides, we provide a composable finite-key analysis withrigorous security proof against general attacks by exploiting the entropicuncertainty relation for multiparty system. Our protocol greatly improves thefeasibility to establish conference keys over asymmetric channels.

Finite-key Analysis for Quantum Conference Key Agreement with Asymmetric Channels