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We study decoherence induced by stochastic squeezing control errorsconsidering the particular implementation of Hadamard gate on optical and iontrap holonomic quantum computers. We analytically obtain both the purity of thefinal state and the fidelity for Hadamard gate when the control noise ismodeled by Ornstein-Uhlenbeck stochastic process. We demonstrate the purity andthe fidelity oscillations depending on the choice of the initial superimposedstate. We derive a linear formulae connecting the gate fidelity and the purityof the final state.Comment: The sequel to quant-ph/060109

Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations