  We show that both the classical as well as the quantum definitions of the
Fisher information faithfully identify resourceful quantum states in general
quantum resource theories, in the sense that they can always distinguish
between states with and without a given resource. This shows that all quantum
resources confer an advantage in metrology, and establishes the Fisher
information as a universal tool to probe the resourcefulness of quantum states.
We provide bounds on the extent of this advantage, as well as a simple
criterion to test whether different resources are useful for the estimation of
unitarily encoded parameters. Finally, we extend the results to show that the
Fisher information is also able to identify the dynamical resourcefulness of
quantum operations.
