Tailoring Non-Gaussian Continuous-Variable Graph States

TL;DR

This paper proposes mode-selective photon addition and subtraction to introduce non-Gaussian features into continuous-variable graph states, enhancing their quantum computational capabilities.

Contribution

It introduces a practical method for creating non-Gaussian continuous-variable graph states using photon addition and subtraction, with analysis of control over non-Gaussian features.

Findings

Non-Gaussian features can be effectively introduced into graph states.

The spread of non-Gaussian properties can be controlled among vertices.

The approach is experimentally feasible.

Abstract

Graph states are the backbone of measurement-based continuous-variable quantum computation. However, experimental realisations of these states induce Gaussian measurement statistics for the field quadratures, which poses a barrier to obtain a genuine quantum advantage. In this letter, we propose mode-selective photon addition and subtraction as viable and experimentally feasible pathways to introduce non-Gaussian features in such continuous-variable graph states. In particular, we investigate how the non-Gaussian properties spread among the vertices of the graph, which allows us to show the degree of control that is achievable in this approach.