Experimental Realization of Nonadiabatic Holonomic Quantum Computation

摘要

Due to its geometric nature, holonomic quantum computation is fault-tolerantagainst certain types of control errors. Although proposed more than a decadeago, the experimental realization of holonomic quantum computation is still anopen challenge. In this Letter, we report the first experimental demonstrationof nonadiabatic holonomic quantum computation in liquid NMR quantum informationprocessors. Two non-commuting holonomic single-qubit gates, rotations aboutx-axis and about z-axis, and the two-qubit holonomic control-NOT gate arerealized with high fidelity by evolving the work qubits and an ancillary qubitnonadiabatically. The successful realization of these universal elementarygates in nonadiabatic quantum computing demonstrates the experimentalfeasibility and the fascinating feature of this fast and resilient quantumcomputing paradigm.