Fig. 6: Distributions of the square magnetization \({m}_{{h}_{0}}^{2}\) of the random transverse field Ising model.
From: Foundation neural-networks quantum states as a unified Ansatz for multiple hamiltonians
The FNQS is trained on \({{{\mathcal{R}}}}=1000\) independent disorder realizations and tested on a separate set of 1000 unseen realizations. The reported distributions correspond to the latter, with results presented on a chain of length N = 32 for three distinct disorder strengths: h0 = 0.4, h0 = 1.0, and h0 = 1.6. For comparison, numerically exact results are included as black dashed lines. The insets of each panel illustrate the correlation between the exact squared magnetizations and the variational values predicted by the FNQS for unseen disorder realizations.
