Quantum Computation under Micromotion in a Planar Ion Crystal

TL;DR

This paper presents a scheme for scalable quantum computation using a planar ion crystal in a Paul trap, addressing micromotion effects to enable high-fidelity gates and large-scale fault-tolerant quantum computing.

Contribution

It introduces a method to incorporate micromotion effects into gate design, enabling high-fidelity quantum gates in planar ion traps.

Findings

High-fidelity gates are achievable despite micromotion effects.

Micromotion effects can be effectively incorporated into gate design.

The scheme supports large-scale fault-tolerant quantum computation.

Abstract

We propose a scheme to realize scalable quantum computation in a planar ion crystal confined by a Paul trap. We show that the inevitable in-plane micromotion affects the gate design via three separate effects: renormalization of the equilibrium positions, coupling to the transverse motional modes, and amplitude modulation in the addressing beam. We demonstrate that all of these effects can be taken into account and high-fidelity gates are possible in the presence of micromotion. This proposal opens the prospect to realize large-scale fault-tolerant quantum computation within a single Paul trap.