“…The main motivation for choosing qudits over qubits is to avoid truncating naturally higher dimensional quantum systems into qubits [1,2]. Single-and multi-qudit experiments use photons [3][4][5][6][7][8][9][10][11][12], trapped ions [13][14][15][16][17][18], superconducting qudits [19][20][21][22][23][24], dopants in silicon [25], ultracold atoms [26], and spin systems [27,28]. Qudits systems are currently in use in quantum communication [29], quantum teleportation [30,31], quantum memories [32,33], Bell-state measurements [34], study of spin chains [5,12,31,[34][35][36], in enhancing quantum error correction techniques [37,38], in encoding qubits [39] and qudits [40], simulations of many-body systems [41], quantum key distribution [42]…”