Fast preparation of three-dimensional entangled states by designing the evolution operators

Different from multi-partite two-dimensional entanglement, multi-partite high-dimensional entanglement shows stronger robustness and higher security in quantum information processing (QIP) tasks. Here, we use the method of designing the evolution operators to construct shortcuts to adiabatic passages (STAP) that enable the system to evolve along nonadiabatic shortcut. By choosing appropriate free parameters to control the pulses and setting appropriate boundary conditions, the fast preparation of three-dimensional entangled states of two atoms can be successfully achieved in just one step. In addition, we not only demonstrate the robustness and effectiveness of this scheme, but also show its high fidelity under present experimental conditions. Finally, we realize the fast preparation of the high-dimensional entangled states of two atoms based on the same principle.