Four- and six-photon stimulated Raman transitions for coherent qubit and qudit operations

TL;DR

This paper demonstrates multi-photon stimulated Raman transitions in a single trapped atom, enabling high-fidelity control of qubits and qudits for quantum computing applications.

Contribution

It experimentally realizes four- and six-photon Raman transitions for the first time, deriving and verifying the associated Rabi frequencies and discussing fidelity improvements.

Findings

Successful demonstration of multi-photon transitions with verified Rabi frequencies

Potential to achieve >99.99% fidelity in multi-photon transitions

Provides a new tool for high-fidelity quantum control of qubits and qudits

Abstract

We experimentally demonstrate transitions between electronic angular momentum states with a difference in magnetic quantum numbers $\Delta \mathrm{m_J} = $ 3, 4, and 5 via resonant four- and six-photon stimulated Raman transitions in a single trapped atom. Derivation of the corresponding Rabi frequencies, which are verified experimentally, follows the standard treatment of two-photon transitions including the adiabatic elimination of intermediate states. Finally, we discuss pathways to increase the observed multi-photon transition fidelities to $>99.99\%$, providing a tool for efficient, high-fidelity control of qu\textit{d}its and single-atom logical qubits.