“…The trapped-ion system [1][2][3][4][5] has been recognized as a potential platform for quantum simulation, [6][7][8][9][10][11] quantum computing, [12][13][14][15] quantum networking, [16] quantum sensing, [17,18] and quantum logic clock, [19][20][21] contributed by the favorable properties such as long coherence time, [24,25] near-perfect state preparation and readout, [24,25] and highfidelity quantum logic gate operations. [26,27] The trapped-ionbased two-level system have been used as a potential platform for quantum computation and quantum simulation, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] whereas the multi-level quantum systems can provide a larger capacity to store process information. [28] The quantum controls for multi-level quantum system and high-dimensional quantum simulation are new research fields of the trappedions.…”