Faster spectral density calculation using energy moments

Abstract Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate spectral density a strongly-correlated many-body system. In this work we reformulate recently proposed Gaussian Integral Transform technique terms Fourier moments system Hamiltonian which can be computed efficiently on quantum computer. One main advantages framework is that it allows for an important reduction computational cost by exploiting previous knowledge about energy density. For simple model medium mass nucleus like $$^{40}$$ 40 Ca target resolution 1 MeV find expected speed-up $$\approx 125$$ ≈ 125 times calculation giant dipole 50$$ 50 simulation quasi-elastic electron at typical momentum transfers.