Relative entropies of coherence of X states in three-dimensional mutually unbiased bases

In this paper, we calculate the density matrices of one class of X states in the three-dimensional mutually unbiased bases and find that the density matrices are equal to their corresponding conjugate transpose matrices. After obtaining the relations of these density matrices, we calculate the relative entropies of coherence for the density matrices of X states in these nontrivial mutually unbiased bases and obtain that their relative entropies of coherence are equal. At last, the density matrices of other two classes of X states in these mutually unbiased bases are discussed. We also investigate their relative entropies of coherence and clarify their relationships.