Experimental Realization of Nonadiabatic Holonomic Quantum Computation

TL;DR

This paper reports the first experimental demonstration of nonadiabatic holonomic quantum computation using liquid NMR, showcasing high-fidelity implementation of universal quantum gates that are fast and fault-tolerant.

Contribution

It provides the first experimental realization of nonadiabatic holonomic quantum gates, advancing the practical development of geometric quantum computing.

Findings

High-fidelity single-qubit holonomic gates achieved

Implementation of a two-qubit holonomic CNOT gate demonstrated

Experimental feasibility of nonadiabatic holonomic quantum computation confirmed

Abstract

Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open challenge. In this Letter, we report the first experimental demonstration of nonadiabatic holonomic quantum computation in liquid NMR quantum information processors. Two non-commuting holonomic single-qubit gates, rotations about x-axis and about z-axis, and the two-qubit holonomic control-NOT gate are realized with high fidelity by evolving the work qubits and an ancillary qubit nonadiabatically. The successful realization of these universal elementary gates in nonadiabatic quantum computing demonstrates the experimental feasibility and the fascinating feature of this fast and resilient quantum computing paradigm.