2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93774A universal algorithm for a deterministic preparation of arbitrary three--mode bosonic states is introduced. In particular, we consider preparation of entangled quantum states of a vibrational motion of an ion confined in a 3D trapping potential. The target states are established after a proper sequence of laser stimulated Raman transitions. Stability of the algorithm with respect to a technical noise is discussed and the distance (fidelity) of outputs with respect to target states is studied.latex, 10 pages; see Acta Phys. Slovaca, Special issue on Quantum Optics and Quantum information http://www.savba.sk/sav/inst/fyzi/aps/acta98/no3/Quantum Physicstext