Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion

TL;DR

This paper demonstrates experimentally a robust, fast, and implementable nonadiabatic holonomic single-qubit quantum gate in a trapped ion system, showing improved resistance to control errors over previous methods.

Contribution

It introduces a novel scheme for nonadiabatic holonomic quantum gates with optimal control, enhancing robustness and speed in trapped ion quantum computing.

Findings

The scheme achieves higher robustness against control amplitude errors.

Experimental validation shows improved gate fidelity via quantum process tomography.

Potential for implementing two-qubit holonomic gates with current technology.

Abstract

Quantum computation with quantum gates induced by geometric phases is regarded as a promising strategy in fault tolerant quantum computation, due to its robustness against operational noises. However, because of the parametric restriction of previous schemes, the main robust advantage of holonomic quantum gates is smeared. Here, we experimentally demonstrate a solution scheme, demonstrating nonadiabatic holonomic single qubit quantum gates with optimal control in a trapped Yb ion based on three level systems with resonant drives, which also hold the advantages of fast evolution and convenient implementation. Compared with corresponding previous geometric gates and conventional dynamic gates, the superiority of our scheme is that it is more robust against control amplitude errors, which is confirmed by the measured gate infidelity through both quantum process tomography and random benchmarking methods. In addition, we also outline that nontrivial two qubit holonomic gates can also be realized within current experimental technologies. Therefore, our experiment validates the feasibility for this robust and fast holonomic quantum computation strategy.