Fast quantum annealing protocol for Ising Hamiltonian with strong random field

An individual qubit can be driven fast from one configuration of its Hamiltonian to another without generating transitions by choosing a proper path in the configuration space [M.V. Berry, J. of Physics A 42, 365303 (2009)]. We apply this technique to a system of qubits that is initially described by the non-interacting Hamiltonian of spin 1/2 particles in a uniform magnetic field along x-direction and is transformed to the system described by the Ising Hamiltonian with random field in z-direction. For the limit of strong disorder, the single-qubit correction terms significantly enhance the probability for the whole system to remain in the ground state for the proposed non-stoquastic annealing protocol. We demonstrate that even when transitions occur for stronger interaction between qubits, the most probable quantum state is one of the lower energy states of the final Hamiltonian.