Quantum-controlled cluster states

TL;DR

This paper introduces a new method for generating quantum-controlled cluster states using spatially structured light in optical parametric oscillators, enabling flexible and novel cluster state configurations for quantum computing.

Contribution

It presents a novel approach to produce and manipulate quantum cluster states via structured light pumping, enhancing control over spatial mode couplings.

Findings

Structured light improves spectral and temporal cluster generation.

Mode rotation enables different lattice configurations.

A new technique for non-uniform cluster states is proposed.

Abstract

Quantum optical cluster states have been increasingly explored, in the light of their importance for measurement-based quantum computing. Here we set forth a new method for generating quantum controlled cluster states: pumping an optical parametric oscillator with spatially structured light. We show that state-of-the-art techniques for producing clusters in the spectral and temporal domains are improved by a structured light pump, which manipulates the spatial mode couplings in the parametric interaction. We illustrate the method considering a second-order pump structure, and show that a simple mode rotation yields different cluster states, including, but not limited to the two-dimensional square and hexagonal lattices. We also introduce a novel technique for generating non-uniform cluster states, and propose a simple setup for its implementation.