Realization of holonomic single-qubit operations

TL;DR

This paper demonstrates robust, holonomic single-qubit operations using a four-level trapped ion system, advancing geometric quantum computation with potential for scalable quantum systems.

Contribution

It introduces a scheme for implementing holonomic single-qubit gates in a four-level ion system, emphasizing robustness and scalability for quantum computing.

Findings

Successful realization of holonomic single-qubit gates

Robustness against parameter variations demonstrated

Potential application in large-scale quantum computation

Abstract

Universal single-qubit operations based on purely geometric phase factors in adiabatic processes are demonstrated by utilizing a four-level system in a trapped single $^{40}$Ca$^+$ ion connected by three oscillating fields. Robustness against parameter variations is studied. The scheme demonstrated here can be employed as a building block for large-scale holonomic quantum computations, which may be useful for large qubit systems with statistical variations in system parameters.