In this talk I will review our ongoing effort to leverage tensor-network based computational methods to accurately determine spectral response functions of quantum spin systems in one and two spatial dimensions. We will present a selection of experiment - theory collaborations, where the necessity for such accurate computational approaches becomes clear. We will also discuss our plans for a data pipeline from INS spectrometers to computational modelling tools for modern data analysis and modelling toolchains at large scale infrastructure facilities and beyond.
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