  We consider the quantum resource theory of measurement informativeness and
introduce a weight-based quantifier of informativeness. We show that this
quantifier has operational significance from the perspective of quantum state
exclusion, by showing that it precisely captures the advantage a measurement
provides in minimising the error in this game. We furthermore introduce
information theoretic quantities related to exclusion, in particular the notion
of excludible information of a quantum channel, and show that for the case of
quantum-to-classical channels it is determined precisely by the weight of
informativeness. This establishes a three-way correspondence which sits in
parallel to the recently discovered correspondence in quantum resource theories
between robustness-based quantifiers, discrimination games, and accessible
information. We conjecture that the new correspondence between a weight-based
quantifier and an exclusion-based task found in this work is a generic
correspondence that holds in the context of quantum resource theories.
