  Nonadiabatic holonomic quantum computation has received increasing attention
due to its robustness against control errors as well as high-speed realization.
The original protocol of nonadiabatic holonomic one-qubit gates has been
experimentally demonstrated with superconducting transmon qutrit. However, the
original protocol requires two noncommuting gates to realize an arbitrary
one-qubit gate, which doubles the exposure time of gates to error sources and
therefore makes the gates vulnerable to environment-induced decoherence.
Single-shot protocol was subsequently proposed to realize an arbitrary
one-qubit nonadiabatic holonomic gate. In this paper, we experimentally realize
the single-shot protocol of nonadiabatic holonomic single qubit gates with a
superconducting Xmon qutrit, where all the Clifford element gates are realized
by a single-shot implementation. Characterized by quantum process tomography
and randomized benchmarking, the single-shot gates reach a fidelity larger than
99%.
