  Thouless pumping, the quantized transport of particles in a cyclic adiabatic
evolution, faces a challenge: slow driving may exceed the coherent time, while
fast driving may break quantization. To address this dilemma, we propose to
speed up Thouless pumping using shortcuts to adiabaticity. By using
counterdiabatic theory, we analytically derive the controlled Hamiltonian for
implementing dispersion-suppressed Thouless pumping beyond the adiabatic
regime. Compared to traditional Thouless pumping methods, our fast topological
pumping approach offers remarkable advantages. Firstly, it enables a
substantial reduction of pumping time up to 11 orders of magnitude faster than
the traditional approach. Secondly, our method effectively suppresses
wavepacket diffusion, further enhancing its efficiency. Furthermore, we
demonstrate the resilience of our protocol against moderate noise levels. Our
study offers a practical and efficient method for achieving fast topological
pumping beyond the adiabatic regime.
