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Minimizing the effect of decoherence on a quantum register must be a centralpart of any strategy to realize scalable quantum information processing. Apartfrom the strength of the coupling to the environment, the decoherence rate isdetermined by the the system level structure and by the spectral composition ofthe noise trace that the environment generates. Here, we discuss a relativelysimple model that allows us to study these different effects quantitatively indetail. We evaluate the effect that the perturbation has on an NMR system whileit performs a Grover search algorithm.Comment: Generalizations are added. Comments are welcom

Effect of system level structure and spectral distribution of the environment on the decoherence rate