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In the quest for the realization of quantum information processors, trapped ions occupy a prominent position. The challenge of realizing large-scale processors and quantum simulators based on ions will, however, require that one deals with more complex structures, which may include mesoscopic ordered ion ensembles, i.e., ion Coulomb crystals. In this regime, it is expected that the effect of noise ...

Recent amazing experiments with trapped ions have demonstrated the feasibility of ion based quantum computing. At the same time, these prove of principle experiments have allowed us to analyze the experimental limitations on the fidelity of each quantum operation, on its speed, as well as on the storage time of the quantum memory. Moreover, since a practical quantum computer should operate with mu ...