Spatiotemporal graph states from a single optical parametric oscillator

TL;DR

This paper proposes an experimental method to generate large-scale, multipartite entangled states using an optical parametric oscillator, enabling parallel creation of cluster states for quantum computing.

Contribution

It introduces a novel scheme leveraging spatial and frequency modes of an optical parametric oscillator to produce complex, graph-structured entangled states analytically.

Findings

Analytical forms of entangled states derived using nullifiers.

Multiple cluster states can be generated in parallel.

Quantum graphs depend on the squeezing parameter.

Abstract

An experimental scheme is proposed for building massively multipartite entangled states using both the spatial and the frequency modes of an optical parametric oscillator. We provide analytical forms of the entangled states using the squeezed eigenmodes of Heisenberg equations, a.k.a. the nullifiers of the corresponding graph state. This scheme can generate, in parallel, several cluster states described by sparsely connected, bicolorable graph states, usable for one-way quantum computing. We indicate the experimentally accessible quantum graphs, depending on the squeezing parameter.