  Based on the mutually unbiased bases, the mutually unbiased measurements and
the general symmetric informationally complete positive-operator-valued
measures, we propose three separability criteria for $d$-dimensional bipartite
quantum systems, which are more powerful than the corresponding ones introduced
in [C. Spengler, M. Huber, S. Brierley, T. Adaktylos, and B.C. Hiesmayr, Phys.
Rev. A \textbf{86}, 022311 (2012); B. Chen, T. Ma, and S.M. Fei, Phys. Rev. A
\textbf{89}, 064302 (2014); B. Chen, T. Li, and S.M. Fei, arXiv:1406.7820v1
[quant-ph] (2014)]. Some states such as Werner states and Bell-diagonal states
are used to further illustrate the efficiency of the presented criteria.
