  Experimental realization of a universal set of quantum logic gates with
high-fidelity is critical to quantum information processing, which is always
challenging by inevitable interaction between the quantum system and
environment. Geometric quantum computation is noise immune, and thus offers a
robust way to enhance the control fidelity. Here, we experimentally implement
the recently proposed extensible nonadiabatic holonomic quantum computation
with solid spins in diamond at room-temperature, which maintains both
flexibility and resilience against decoherence and system control errors.
Compared with previous geometric method, the fidelities of a universal set of
holonomic single-qubit and two-qubit quantum logic gates are improved in
experiment. Therefore, this work makes an important step towards fault-tolerant
scalable geometric quantum computation in realistic systems.
