Fig. 4: Adiabatic state preparation.

(Top row) Grover model. a Fidelity \({{{\mathcal{F}}}}\) of the adiabatically evolved state with the instantaneous ground state. b QFI and CFI of the instantaneous ground state. c QFI and CFI of the adiabatically evolved state. (Middle row) p-spin model. d Fidelity \({{{\mathcal{F}}}}\) of the adiabatically evolved state with the instantaneous ground state. e QFI and CFI of the instantaneous ground state. f QFI and CFI of the adiabatically evolved state. (Bottom row) biclique spin system. g Fidelity \({{{\mathcal{F}}}}\) of the adiabatically evolved state with the instantaneous ground state. h QFI and CFI of the instantaneous ground state. i QFI and CFI of the adiabatically evolved state. 20-qubit system was used for the Grover model, 30 qubits for the p-spin model, and a 5-qubit system with J = 1, W_A = 4J and W_B = 3.5J was used for the biclique system.