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In previous implementations of adiabatic quantum algorithms using spinsystems, the average Hamiltonian method with Trotter's formula wasconventionally adopted to generate an effective instantaneous Hamiltonian thatsimulates an adiabatic passage. However, this approach had issues with theprecision of the effective Hamiltonian and with the adiabaticity of theevolution. In order to address these, we here propose and experimentallydemonstrate a novel scheme for adiabatic quantum computation by using theintrinsic Hamiltonian of a realistic spin system to represent the problemHamiltonian while adiabatically driving the system by an extrinsic Hamiltoniandirectly induced by electromagnetic pulses. In comparison to the conventionalmethod, we observed two advantages of our approach: improved ease ofimplementation and higher fidelity. As a showcase example of our approach, weexperimentally factor 291311, which is larger than any other quantumfactorization known.

High-fidelity adiabatic quantum computation using the intrinsic  Hamiltonian of a spin system: Application to the experimental factorization  of 291311