We propose a scheme to realize fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom-cavityfiber system. The scheme is experimentally feasible because of the same form of the counterdiabatic Hamiltonian as that of the effective Hamiltonian. Besides, numerical simulations are given to prove that the scheme is strongly robust against variations in various parameters and decoherence.Keywords: 3D entanglement, Shortcuts to adiabaticity, Superadiabatic iterations I. INTRODUCTIONWith the rapid development in quantum information processing, high-dimensional entanglement is increasingly drawing attention of researchers due to its more superior security than qubit entanglement in the field of quantum key distribution and its greater violation of local realism [1][2][3][4][5]. Thus, the generation of high-dimensional entanglement is of great importance. Up to present, a large number of schemes have been proposed for generating high-dimensional entanglement via various techniques [6][7][8][9][10][11][12][13][14][15]. Among these techniques, stimulated Raman adiabatic passage (STIRAP) is widely used in fields of time-dependent interaction for many purposes [16,17] because of its robustness against atomic spontaneous emissions and variations in experimental parameters. However, STIRAP usually requires a relatively long interaction time for restraining non-adiabatic transitions.A set of techniques called "Shortcuts to adiabaticity (STA)" are promising for quantum information processing which actually fights against the decoherence, noise, or losses that are accumulated during a long operation time. Hence, many schemes are proposed to construct STA [18][19][20][21][22][23][24][25][26][27][28]. By using STA, a great deal of remarkable achievements have been made in *