Fig. 4: Continuum extrapolation results with matrix product states.
From: First-order phase transition of the Schwinger model with a quantum computer
Electric field density \({\mathcal{F}}/g\) against l0 for Wilson fermions and staggered fermions at mr/g = 0.01. The following MSE values are the mean squared error of each of the data as compared to the continuum mass perturbation theory prediction for the electric field density \({\mathcal{F}}/g\) given in Eq. (1). For staggered fermions with MSt and same x (number of qubits as Wilson), the MSE is 1.041 × 10−6 (6.16 × 10−7), and respectively for MSL 6.143 × 10−9 (2.617 × 10−8). For Wilson fermions the MSE is 7.926 × 10−9. The error bars emanate from the errors in the variational algorithm to compute the relevant ground states, the extrapolation in bond dimension and in lattice spacing.
