Trapped-ion qutrit spin molecule quantum computer

TL;DR

This paper proposes a design for a qutrit quantum computer using trapped ions with a magnetic field gradient, enabling conditional logic through spin-spin coupling similar to molecular J-coupling.

Contribution

It introduces a novel trapped-ion qutrit quantum computer architecture leveraging magnetic field gradients for entangling gates.

Findings

Demonstrates how to execute one and two qutrit quantum gates

Shows the feasibility of universal qutrit quantum computing with this setup

Details the implementation of spin-spin coupling for quantum logic

Abstract

We present a qutrit quantum computer design using trapped ions in the presence of a magnetic field gradient. The magnetic field gradient induces a "spin-spin" type coupling, similar to the J-coupling observed in molecules, between the qutrits which allows conditional quantum logic to take place. We describe in some detail, how one can execute specific one and two qutrit quantum gates, required for universal qutrit quantum computing.