Based on the nonincreasing property of quantum coherence via skew information under incoherent completely positive and trace-preserving maps, we propose a non-Markovianity measure for open quantum processes. As applications, by applying the proposed measure to some typical noisy channels, we find that it is equivalent to the three previous measures of non-Markovianity for phase damping and amplitude damping channels, i.e., the measures based on the quantum trace distance, dynamical divisibility, and quantum mutual information. For the random unitary channel, it is equivalent to the non-Markovianity measure based on $l_1$ norm of coherence for a class of output states and it is incompletely equivalent to the measure based on dynamical divisibility. We also use the modified Tsallis relative $\alpha$ entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems, the results show that the modified Tsallis relative $\alpha$ entropy of coherence are more comfortable than the original Tsallis relative $\alpha$ entropy of coherence for small $\alpha$.

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通过偏斜信息量化基于量子相干性的量子非马尔可夫性

基于在非相干完全正和迹保留映射下通过偏斜信息量子相干的非递增特性，我们提出了一种用于开放量子过程的非马尔可夫度量。作为应用，通过将所提出的措施应用于一些典型的噪声通道，我们发现它等效于相位阻尼和幅度阻尼通道的三个非马尔可夫度量，即基于量子轨迹距离的度量，动态可分性, 和量子互信息。对于随机幺正信道，它等价于一类输出状态基于$l_1$一致性范数的非马尔可夫度量，不完全等价于基于动态可分性的度量​​。