Figure 4

(Top) The probability of being in the instantaneous ground state at the end of the simulation, \(P_{\text{fin}}\), is shown as a function of the average coupling strength κ̅. The graph contains \(N=6\) qubits, and it is a non-complete graph as described in the text. The graph is fixed for all simulations. The maximal value of \(P_{\text{fin}}\) is reached around \(\overline{\kappa} = 0.025\). The red and blue dashed lines depict \(\epsilon _{\text{fin}}\) for the optimised and non-optimised cases, respectively. The gray dashed line shows the target energy. Here \(\epsilon _{\text{fin}}\) is calculated from the state when the annealing was stopped. (Bottom) The histograms illustrate the populations of states for the optimised and non-optimised (fixed κ) cases. The more pronounced bunching around the ground state, as expected, is visible for the optimised coupling strengths