Imperfection effects for multiple applications of the quantum wavelet transform.

We study analytically and numerically the effects of various imperfections in a quantum computation of a simple dynamical model based on the quantum wavelet transform. The results for fidelity time scales, obtained for a large range of error amplitudes and number of qubits, imply that for static imperfections the threshold for fault-tolerant quantum computation is decreased by a few orders of magnitude compared to the case of random errors.