Fig. 5: Results of the energy in the Heisenberg chain models of the cluster setting with n = 4, k = 2, Jinter = 1.0, and dH = 4. The black dashed line represents the energy of the exact ground state.

a Result for HTN+VQE (blue line). The inset shows the enlarged view along the y-axis. b Results for QMC (blue line) and HTN+QMC (orange line).