Quantum gates using electronic and nuclear spins of Yb$^{+}$ in a magnetic field gradient

TL;DR

This paper proposes a scheme for implementing quantum gates on Yb$^+$ ion arrays using electronic and nuclear spins in a strong magnetic field gradient, enhancing control and suppression of unwanted couplings.

Contribution

It introduces a method utilizing high magnetic fields and state swapping to improve gate operations on Yb$^+$ ions, building on previous proposals.

Findings

Feasibility of high magnetic field generation discussed

Suppression of unwanted electron spin coupling demonstrated

Scheme applicable to trapped Yb$^+$ ion arrays

Abstract

An efficient scheme is proposed to carry out gate operations on an array of trapped Yb$^+$ ions, based on a previous proposal using both electronic and nuclear degrees of freedom in a magnetic field gradient. For this purpose we consider the Paschen-Back regime (strong magnetic field) and employ a high-field approximation in this treatment. We show the possibility to suppress the unwanted coupling between the electron spins by appropriately swapping states between electronic and nuclear spins. The feasibility of generating the required high magnetic field is discussed.