  Quantum control techniques are employed to perform adiabatic quantum
computing in the presence of noise. First, we analyze the adiabatic
entanglement protocol (AEP) for two qubits. In this case, we found that this
protocol is very robust against noise. The reason behind this fact is related
to the chosen Hamiltonians, where the ground state of the initial Hamiltonian
is not affected by the noise. The optimal control solution, in this case, is to
leave the system in its ground state and apply a fast pulse to entangle the
qubits at the end of the time evolution. Secondly, we probe a system composed
of three qubits, where the goal is to teleport the first qubit to the third
qubit. In this case, the ground state of the system does not share the same
robustness against noise as in the case of AEP. To improve the robustness
against noise, we propose the inclusion of a local control field that can drive
the system to an intermediate state, which is more robust against noise in
comparison to other states. The target state is also achieved by a fast pulse
at the final time. We found that this approach provides a significant gain in
the fidelity and can improve the adiabatic quantum computing in the so-called
Noisy Intermediate-Scale Quantum (NISQ) devices in a near future.
