Fig. 4: Step scaling results for the static forces from the weak coupling region.
F(r1 = 1, g) and \(F({r}_{2}=\sqrt{5},g)\) computed in the electric basis at truncation l = 1. Here we used the smallest truncation to illustrate the method. From the weak coupling regime β = 102, the static forces are computed following a steps procedure, both with ED and VQE (noise-free simulations with shots). ED results for \({r}_{1}^{2}F({r}_{1}=1,g)\) (\({r}_{2}^{2}F({r}_{2}=\sqrt{5},g)\)) are displayed with circles (squares) and corresponding VQE results with up(down)ward-pointing triangles. In the simulations, a combination of NFT and COBYLA optimizer was considered and a finite number of shots defines the error bars, which are smaller than the markers. These uncertainties (standard deviation) are computed with the combination of the variances of the Pauli terms in the Hamiltonian.
