We study the distribution and monogamous relations of quantum coherence for three-qubit systems under the influence of local amplitude-damping, phase-damping and random unitary channels, respectively. We find that under the influence of the considered channels, the W state has both global and bipartite coherence, and its monogamy is always equal to zero. For the Greenberger–Horne–Zeilinger) state, however, there is only global coherence in the time evolution and the monogamy is always positive. We also present a partially entangled state, , which has global, bipartite, and monomeric coherences and negative monogamy during the whole time evolution.

我们分别研究了三量子位系统在局部振幅阻尼，相位阻尼和随机unit通道的影响下的量子相干分布和一夫一妻关系。我们发现，在考虑的通道的影响下，W状态既具有全局一致性，也具有二元一致性，并且其一夫一妻制始终等于零。但是，对于格林伯格-霍恩-泽林格州来说，时间演变只具有全球一致性，一夫一妻制始终是积极的。我们还呈现了一个部分纠缠的状态，该状态在整个时间演化过程中具有全局，两方和单体相干性，并且具有负一夫一妻制。