Quantum invariant-based control of interacting trapped ions

TL;DR

This paper extends invariant-based inverse engineering to control two coupled harmonic oscillators in multiple dimensions, enabling high-fidelity ion separation with minimal motional excitation, advancing quantum information processing techniques.

Contribution

It generalizes invariant-based inverse engineering to multi-dimensional coupled oscillators, facilitating improved quantum control of trapped ions for practical applications.

Findings

Achieved over 96% transfer fidelity in ion separation.

Demonstrated low motional excitations during control.

Validated the approach through numerical simulations.

Abstract

Invariant-based inverse engineering is an elegant approach to quantum control with corresponding experimental implementations that perform tasks with applications in quantum information processing such as shuttling trapped ions. We build on recent work to generalise invariant-based inverse engineering to control two coupled harmonic oscillators in any number of spatial dimensions. This may be used to perform experimentally relevant tasks such as separation of trapped ions, which is demonstrated numerically, achieving transfer fidelities of over 96% as well as low motional number excitations.