  The counter diabatic (CD) driving has attracted much attention for
suppressing non-adiabatic transition in quantum annealing (QA). However, it can
be intractable to construct the CD driving in the actual experimental setup due
to the non-locality of the CD dariving Hamiltonian and necessity of exact
diagonalization of the QA Hamiltonian in advance. In this paper, using the mean
field (MF) theory, we propose a general method to construct an approximated CD
driving term consisting of local operators. We can efficiently construct the MF
approximated CD (MFCD) term by solving the MF dynamics of magnetization using a
classical computer. As an example, we numerically perform QA with MFCD driving
for the spin glass model with transverse magnetic fields. We numerically show
that the MF dynamics with MFCD driving is equivalent to the solution of the
self-consistent equation in MF theory. Also, we clarify that a ground state of
the spin glass model with transverse magnetic field can be obtained with high
fidelity compared to the conventional QA without the CD driving. Moreover, we
experimentally demonstrate our method by using a D-wave quantum annealer and
obtain the experimental result supporting our numerical simulation.
