Quantum control with a multi-dimensional Gaussian quantum invariant

TL;DR

This paper develops a multi-dimensional Gaussian quantum invariant framework enabling precise quantum control in complex systems, demonstrated through ion shuttling in scalable quantum computing.

Contribution

It introduces a novel multi-dimensional Gaussian quantum invariant, extending quantum control techniques to higher-dimensional systems for the first time.

Findings

Successfully designed time-dependent potentials for ion shuttling

Demonstrated ground state evolution in multi-dimensional systems

Enhanced control in quantum information processing

Abstract

The framework of quantum invariants is an elegant generalization of adiabatic quantum control to control fields that do not need to change slowly. Due to the unavailability of invariants for systems with more than one spatial dimension, the benefits of this framework have not yet been exploited in multi-dimensional systems. We construct a multi-dimensional Gaussian quantum invariant that permits the design of time-dependent potentials that let the ground state of an initial potential evolve towards the ground state of a final potential. The scope of this framework is demonstrated with the task of shuttling an ion around a corner which is a paradigmatic control problem in achieving scalability of trapped ion quantum information technology.