  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 charge qubit formed by an electron
confined in a triple-quantum-dot system, enabling single and two-qubit gates
working in the dipolar and quadrupolar detuning sweet spots. We further present
the form for the long-range dipolar coupling between the charge qubit and the
superconducting resonator. Based on the hybrid system composed of the qubits
and the resonator, we present two types of entangling gates: the dynamical
iSWAP gate and holonomic entangling gate, which are operating in the dispersive
and resonant regimes, respectively. We find that the fidelity for the iSWAP
gate can reach fidelity higher than 99\% for the noise level typical in
experiments. Meanwhile, the fidelity for the holonomic gate can surpass 98\% if
the anharmonicity in the resonator is large enough. Our proposal offers an
alternative useful way to build up high-fidelity quantum computation for charge
qubits in semiconductor quantum dot.
