Fig. 6: Step scaling results for static forces.
a Step scaling results for static forces for the second pairs of distances, low truncation. \(F({r}_{1}=\sqrt{2},g)\) and \(F({r}_{2}=\sqrt{5},g)\) computed in the electric basis at l = 1. Similar approach as in Fig. 5a, with a different set of distances. From βMC = 1.4 and in a range of couplings within β ≤ 102, the static forces are computed following a steps procedure, both with ED and VQE (noise-free simulations with shots). ED results for \({r}_{1}^{2}F({r}_{1}=\sqrt{2},g)\) (\({r}_{2}^{2}F({r}_{2}=\sqrt{5},g)\)) displayed with circles (squares) and corresponding variational results with up(down)ward-pointing triangles. In the simulations, a sequential combination of two optimizers NFT and COBYLA 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. b Step scaling results for static forces at higher truncation in the electric and magnetic basis. \(F({r}_{1}=\sqrt{2},g)\) and \(F({r}_{2}=\sqrt{5},g)\) computed in the electric (magnetic) basis. In contrast to we consider here a higher truncation and show ED results with electric basis for \({r}_{1}^{2}F({r}_{1}=\sqrt{2},g)\) (\({r}_{2}^{2}F({r}_{2}=\sqrt{5},g)\)) with truncation value l = 7 displayed with circles(squares) and with magnetic basis for \({r}_{1}^{2}F({r}_{1}=\sqrt{2},g)\) (\({r}_{2}^{2}F({r}_{2}=\sqrt{5},g)\)) with l = 3 and discretization values J = 200 displayed with up(down)ward-pointing triangles.
