In this paper, two multi-party quantum key agreement protocols are proposed with logical W states which can resist the collective-dephasing noise and the collective-rotation noise. By using the decoy logical photons method and the delayed measurement, the security and fairness of the protocols are guaranteed. By using the dense coding method and block transmission technique, the efficiency of the two protocols can be improved. The efficiency analysis indicates that the proposed two quantum key agreement (QKA) protocols are efficient by comparing with other multi-party QKA protocols.
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