Geometric quantum gate for trapped ions based on optical dipole forces induced by Gaussian laser beams

Abstract

We propose 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-metal ions. For experimentally realistic parameters gate infidelities as low as ${10}^{\ensuremath{-}4}$ can be obtained.