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The problem of the quantitative degradation of the performance of a quantumcomputer due to noisy unitary gates (imperfect external control) is studied. Itis shown that quite general conclusions on the evolution of the fidelity can bereached by using the conjecture that the set of states visited by a quantumalgorithm can be replaced by the uniform (Haar) ensemble. These general resultsare tested numerically against quantum computer simulations of two particularperiodically driven quantum systems.Comment: 15 pages, 10 figures; only minor corrections, one reference added.  This is the version accepted for publicatio

Quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations