Quantum adiabatic process is one of general ways to prepare and manipulate the quantum states, which usually needs long operation time and makes the manipulation fidelity drop fast in a dephasing system. Theoretically, the technology of quantum shortcut to adiabaticity is proposed to eliminate the non-adiabatic effects during its evolution, which can speed up the quantum adiabatic process. When the technology of quantum shortcut to adiabaticity is applied in the stimulated Raman adiabatic transfer, it can realize the fast and robust quantum control. The basic concept of the technology of quantum shortcut to adiabaticity and its experimental progress are summarized, and its application in the stimulated Raman adiabatic transfer is emphatically introduced.