  Preserving qubit coherence and maintaining high-fidelity qubit control under
complex noise environment is an enduring challenge for scalable quantum
computing. Here we demonstrate an addressable fault-tolerant single spin qubit
with an average control fidelity of 99.12% via randomized benchmarking on a
silicon quantum dot device with an integrated micromagnet. Its dephasing time
T2* is 1.025 us and can be enlarged to 264 us by using the Hahn echo technique,
reflecting strong low-frequency noise in our system. To break through the noise
limitation, we introduce geometric quantum computing to obtain high control
fidelity by exploiting its noise-resilient feature. However, the control
fidelities of the geometric quantum gates are lower than 99%. According to our
simulation, the noise-resilient feature of geometric quantum gates is masked by
the heating effect. With further optimization to alleviate the heating effect,
geometric quantum computing can be a potential approach to reproducibly
achieving high-fidelity qubit control in a complex noise environment.
