Figure 3
From: Exploring finite temperature properties of materials with quantum computers

Thermal energy, as a function of inverse temperature \(\beta \) of a 1D Heisenberg model on a 12-qubit lattice (blue) and a 2D Heisenberg model on a 4 \(\times \) 3 lattice (black). Shown are results averaged over 10 TPQ state realizations. The true ensemble thermal energies (dashed) are plotted for reference.