Abstract
Given an arbitrary state ρ and some figure of merit E(ρ), it is usually a hard problem to determine the value of E(ρ^⊗ N). One noticeable exception is the case of additive measures, for which we simply have E(ρ^⊗ N) = Ne, with e≡ E(ρ). In this work we study measures that can be described by E(ρ^⊗ N) =E(e;N) ≠ Ne, that is, measures for which the amount of resources of N copies is still determined by the single real variable e, but in a nonlinear way. If, in addition, the measures are analytic around e=0, recurrence relations can be found for the Maclaurin coefficients of E for larger N. As an example, we show that the ℓ₁-norm of coherence is a nontrivial case of such a behavior.