Non-adiabatic geometric quantum gate of spins in quantum dots

    High-fidelity quantum gates, including single-qubit and two-qubit gates, are keys to realize universal quantum computing. Quantum computation based on non-adiabatic geometric phases is an important method to realize high-fidelity quantum gates, due to the merits of both geometric robustness against control errors and high-speed evolution. Here, we propose a scheme to implement universal non-adiabatic geometric quantum gates in silicon-based spin qubits and suppress effectively the off-resonance noise and systematic noise by composite-pulse. Furthermore, we achieve CNOT gate directly and quickly  via electric-dipole induced  spin resonance (EDSR) techniques and symmetric operation, rather than obtaining  by combining single-qubit gates and iSWAP gate in previous schemes.