  We demonstrate that quantum Fisher information and superradiance can be
formulated as coherence measures in accordance with the resource theory of
coherence, thus establishing a direct link between metrological information,
superradiance and coherence. We also show that the trivial coherence measure
has a metrological interpretation. The arguments are then generalized to show
that coherence may be considered as the underlying fundamental resource for any
functional of state that is first of all faithful, and second of all concave or
linear. Arguments are then presented that show quantum Fisher information and
the superradiant quantity are in fact antithetical resources in the sense that
if coherence were directed to saturate one quantity, then it must come at the
expense of the other. Finally, a key result of the paper is to demonstrate that
coherence, quantum Fisher information, superradiant quantity, and entanglement
are mutually interconvertible resources under incoherent operations.
