We provide a characterization and analysis of the effects of dissipation onoscillator assisted (qubus) quantum gates. The effects can be understood andminimized by looking at the dynamics of the signal coherence and itsentanglement with the continuous variable probe. Adding loss in betweensuccessive interactions we obtain the effective quantum operations, providing anovel approach to loss analysis in such hybrid settings. We find that in thepresence of moderate dissipation the gate can operate with a high fidelity. Wealso show how a simple iteration scheme leads to independent single qubitdephasing, while retaining the conditional phase operation regardless of theamount of loss incurred by the probe.
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