We investigate the average coherence with respect to a complete set of complementary measurements. By using a Wigner–Yanase skew information-based coherence measure introduced in Luo and Sun (2017 Phys. Rev. A 96, 022130), we evaluate the average coherence of a state with respect to any complete set of mutually unbiased measurements and general symmetric informationally complete measurements, respectively. We also establish analytically the relations among these average coherences.

中文翻译：

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互补测量的平均相干性

我们调查关于一组完整的互补测量的平均相干性。通过使用罗和孙推出了魏格纳-筌歪斜基于信息的连贯性措施（2017年物理评论一96，022130），我们评价一个国家的平均相干对于任何一整套相互偏见的测量，一般对称的信息完整的测量。我们还分析地建立了这些平均一致性之间的关系。