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Experimental realization of a universal set of quantum logic gates withhigh-fidelity is critical to quantum information processing, which is alwayschallenging by inevitable interaction between the quantum system andenvironment. Geometric quantum computation is noise immune, and thus offers arobust way to enhance the control fidelity. Here, we experimentally implementthe recently proposed extensible nonadiabatic holonomic quantum computationwith solid spins in diamond at room-temperature, which maintains bothflexibility and resilience against decoherence and system control errors.Compared with previous geometric method, the fidelities of a universal set ofholonomic single-qubit and two-qubit quantum logic gates are improved inexperiment. Therefore, this work makes an important step towards fault-tolerantscalable geometric quantum computation in realistic systems.

Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control