  A key challenge for semiconductor quantum-dot charge qubits is the
realization of long-range qubit coupling and performing high-fidelity gates
based on it. Here, we describe a new type of holonomic protected charge (HC)
qubit formed by an electron confined in a triple-quantum-dot system, enabling
holonomic-protected single and two-qubit gates. We present the form for the
dipole coupling between a HC qubit and a transmission-line resonator, the
strength of which can exceed 200 MHz experimentally relevant parameters. Based
on the hybrid system composed of the HC qubits and the resonator, we present
two types of entangling gates: the holonomic entangling gate and the dynamical
iSWAP gate. We find that the fidelity for the holonomic entangling gate can
reach as high as 98\% for the noise level typical in experiments, which is
relatively higher compared to a fidelity of less than 85\% for the iSWAP gate.
Our results suggest that HC qubits in triple quantum dots, coupled via a
superconducting resonator, can be a promising platform to implement
high-fidelity semiconductor quantum computation.
