Topological insulators, owing to their topologically protected boundary states, hold broad application prospects in optical transmission and manipulation. This paper investigates topologically protected quantum state transfer and its acceleration under multiphoton excitation. The results show that under appropriate topological pumping, the system enables transfer between edge modes without being restricted to single excitation, facilitating topologically protected remote transfer of arbitrary quantum states. Using Gaussian states as examples, we simulate the transfer fidelities of coherent, thermal, and squeezed states, demonstrating strong robustness against disorder. To accelerate the state transfer, we introduce shortcuts to adiabaticity to control the Su–Schrieffer–Heeger (SSH) model. Under shortcuts-to-adiabatic control, the system retains topologically protected edge modes and the resulting topological pumping is no longer constrained by adiabatic conditions. Compared with the case without shortcuts, the system evolves faster in closed systems while achieving the same fidelity. In open systems the shortened evolution time enhances robustness against dissipation and thermal noise. Furthermore, we discuss alternative acceleration schemes based on partial counterdiabatic driving and pulse-shape engineering, which reduce experimental complexity by circumventing the need for full counterdiabatic control. This work advances topologically protected quantum state transfer and may offer a useful step toward high-fidelity, high-speed quantum information processing, particularly in Gaussian systems.

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• Quantum control
• Quantum simulation