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A vital requirement for a quantum computer is the ability to locally address,with high fidelity, any of its qubits without affecting their neighbors. Wepropose an addressing method using composite sequences of laser pulses, whichreduces dramatically the addressing error in a lattice of closely spaced atomsor ions, and at the same time significantly enhances the robustness of qubitmanipulations. To this end, we design novel high-fidelity composite pulses forthe most important single-qubit operations. In principle, this method allowsone to beat the diffraction limit, for only atoms situated in a small spatialregion around the center of the laser beam are excited, well within the laserbeam waist.

High-fidelity local addressing of trapped ions and atoms by composite sequences of laser pulses