2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92157We present an implementation of quantum logic gates via internal state dependent displacements of ions in a linear Paul trap caused by optical dipole forces. Based on a general quantum analysis of the system dynamics we consider specific implementations with alkaline earth ions. For experimentally realistic parameters gate infidelities as low as $10^{-4}$ can be obtained.10 pages, 4 figuresQuantum PhysicsGeometric quantum gate for trapped ions based on optical dipole forces induced by Gaussian laser beamstext