The large-N limit is a crucial property in many-body quantum systems, playing a important role in advancing quantum theories and technologies. This paper explores the large-N limit of quantum Fisher information (QFI), an experimentally accessible quantum information measure, in one-dimensional (1D) translation-invariant quantum systems. We demonstrate that QFI generally scales as ϱ2N2+ϱ1N in the large-N limit for these systems. Notably, we present a method to extract the scaling coefficients {ϱi} using triangular-matrix-product-operator theo...
