  A semiconductor-based charge qubit, confined in double quantum dots, can be a
platform to implement quantum computing. However, it suffers severely from
charge noises. Here, we provide a theoretical framework to implement universal
geometric quantum gates in this system. We find that, while the detuning noise
can be suppressed by operating near its corresponding sweet spot, the tunneling
noise, on the other hand, is amplified and becomes the dominant source of error
for single-qubit gates, a fact previously insufficiently appreciated. We
demonstrate, through numerical simulation, that the geometric gates outperform
the dynamical gates across a wide range of tunneling noise levels, making them
particularly suitable to be implemented in conjunction with microwave driving.
To obtain a nontrivial two-qubit gate, we introduce a hybrid system with charge
qubits coupled by a superconducting resonator. When each charge qubit is in
resonance with the resonator, it is possible to construct an entangling
geometric gate with fidelity higher than that of the dynamical gate for
experimentally relevant noise levels. Therefore, our results suggest that
geometric quantum gates are powerful tools to achieve high-fidelity
manipulation for the charge qubit.
