  The standard quantum coherence theory is defined with respect to an
orthonormal basis of a Hilbert space. Recently, Bischof, Kampermann and Bru%
\ss\ generalized the notion of coherence into the case of general measurements,
and also, they established a rigorous resource theory of coherence with respect
to general measurements. In this paper, we propose such a coherence measure
with respect to general measurements via quantum Fisher information, and
provide an application of this measure.
