  We examine the effectiveness and resilience of achieving quantum gates
employing three approaches stemming from quantum control methods:
counterdiabatic driving, Floquet engineering, and inverse engineering. We
critically analyse their performance in terms of the gate infidelity, the
associated resource overhead based on energetic cost, the susceptibility to
time-keeping errors, and the degradation under environmental noise. Despite
significant differences in the dynamical path taken, we find a broadly
consistent behavior across the three approaches in terms of the efficacy of
implementing the target gate and the resource overhead. Furthermore, we
establish that the functional form of the control fields plays a crucial role
in determining how faithfully a gate operation is achieved. Our results are
demonstrated for single qubit gates, with particular focus on the Hadamard
gate, and we discuss the extension to $N$-qubit operations.
