Estimation of J_{i, i + 1} in a chain of N = 50 when C_{1, n} is resolved up to 10^{− 3}. The J_{i, i + 1} are randomly distributed in range (a) [0.9, 1.1] and (b) [0.8, 1.2]. The errors δJi,i+1=J′i,i+1−Ji,i+1 for the two different intervals are compared in panel (c). Panels (d) and (e) show distributions of input data C_{1, n} = | 〈λ_n |1⟩ |² on site 1 for J_{i, i + 1} ∈ [0.9, 1.1] and J_{i, i + 1} ∈ [0.8, 1.2], respectively, to reconstruct J_{i, i + 1} as shown in (a) and (b).