A scheme for universal high-dimensional quantum computation with linear optics

TL;DR

This paper presents a method to perform universal high-dimensional quantum computing using linear optics by generating GHZ states in arbitrary dimensions and combining them with qudit Bell measurements.

Contribution

It introduces a scheme to generate high-dimensional GHZ states with linear optics, enabling universal quantum computation in arbitrary dimensions.

Findings

GHZ states generated in arbitrary dimensions

Universal quantum computing achieved with linear optics

Combines high-dimensional entanglement with Bell measurements

Abstract

Photons are natural carriers of high-dimensional quantum information, and, in principle, can benefit from higher quantum information capacity and noise-resilience. However, schemes to generate the resources required for high-dimensional quantum computing have so far been lacking in linear optics. Here, we show how to generate GHZ states in arbitrary dimensions and numbers of photons using linear optical circuits described by Fourier transform matrices. Combining our results with recent schemes for qudit Bell measurements, we show that universal linear optical quantum computing can be performed in arbitrary dimensions.