  We study the skew information-based coherence of quantum states and derive
explicit formulas for Werner states and isotropic states in a set of autotensor
of mutually unbiased bases (AMUBs). We also give surfaces of skew
information-based coherence for Bell-diagonal states and a special class of X
states in both computational basis and in mutually unbiased bases. Moreover, we
depict the surfaces of the skew information-based coherence for Bell-diagonal
states under various types of local nondissipative quantum channels. The
results show similar as well as different features compared with relative
entropy of coherence and l1 norm of coherence.
