Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap

TL;DR

This paper presents a scalable method for implementing high-fidelity quantum conditional phase gates in a 2D ion trap system, utilizing local axial modes and laser shaping to enable large-scale fault-tolerant quantum computing.

Contribution

It introduces a scheme that uses only local axial modes for entangling gates, avoiding increased complexity with system size in 2D ion traps.

Findings

High-fidelity gates achieved without side-band addressing

Local modes can be selectively excited for entanglement

Method scalable to large 2D ion trap architectures

Abstract

We propose a scheme to implement high-fidelity conditional phase gates on pair of trapped ions immersed in a two-dimensional Coulomb crystal, using interaction mediated by all axial modes without side-band addressing. We show through numerical calculations that only local modes can be excited to achieve entangling gates through shaping the laser beams, so that the complexity of the quantum gate does not increase with the size of the system. These results suggest a promising approach for realization of large scale fault-tolerant quantum computation in two dimensional traps architecture.