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We propose a nonadiabatic approach to quantum annealing, in which we repeatquantum annealing in nonadiabatic time scales, and collect the final states ofmany realizations to find the ground state among them. In this way, we replacethe diffculty of long annealing time in adiabatic quantum annealing by anotherproblem of the number of nonsidabatic (short-time) trials. The one-dimensionaltransverse-field Ising model is used to test this idea, and it is shown thatnonadiabatic quantum annealing has the same computational complexity to findthe ground state as the conventional adiabatic annealing does. This resultimplies that the nonadiabatic method may be used to replace adiabatic annealingto avoid the effects of external disturbances, to which the adiabatic method ismore prone than the nonadiabatic counterpart.

Nonadiabatic Quantum Annealing for One-Dimensional Trasverse-Field Ising Model