Individual qubit addressing of rotating ion crystals in a Penning trap

TL;DR

This paper proposes a novel method using a deformable mirror to achieve high-fidelity single-ion gates in large rotating ion crystals within a Penning trap, addressing the challenge of individual ion addressability.

Contribution

It introduces a protocol leveraging AC Stark shift patterns via a deformable mirror to enable individual ion control in rotating ion crystals, a significant advancement for scalable quantum computing.

Findings

Numerical simulations validate high-fidelity single-ion gates in large ion crystals.

The protocol effectively addresses individual ions despite the crystal's rotation.

Potential for scalable quantum information processing with Penning trap ion arrays.

Abstract

Trapped ions boast long coherence times and excellent gate fidelities, making them a useful platform for quantum information processing. Scaling to larger numbers of ion qubits in RF Paul traps demands great effort. Another technique for trapping ions is via a Penning trap where a 2D crystal of hundreds of ions is formed by controlling the rotation of the ions in the presence of a strong magnetic field. However, the rotation of the ion crystal makes single ion addressability a significant challenge. We propose a protocol that takes advantage of a deformable mirror to introduce AC Stark shift patterns that are static in the rotating frame of the crystal. Through numerical simulations we validate the potential of this protocol to perform high-fidelity single-ion gates in crystalline arrays of hundreds of ions.