  The quantum coherence of the two-site XYZ model with Dzyaloshinsky-Moriya
(DM) interactions in an external inhomogenous magnetic field is studied. The DM
interaction, the magnetic field and the measurement basis can be along
different directions, and we examine the quantum coherence at finite
temperature. With respect to the spin-spin interaction parameter, we find that
the quantum coherence decreases when the direction of measurement basis is the
same as that of the spin-spin interaction. When the spin-lattice interaction is
varied, the coherence always increases irrespective of the relation between its
direction and the measurement basis. Similar analysis of quantum coherence
based on the variation of the external inhomogenous magnetic field is also
carried out, where we find that the coherence decreases when the direction of
the measurement basis is the same as that of the external field.
