Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum information

TL;DR

This paper presents a method to engineer bright squeezed vacuum states in the frequency domain using nonlinear holography, enabling ultrafast generation of continuous-variable cluster states for quantum information processing.

Contribution

It introduces an accurate high-gain parametric downconversion model and designs all-optical frequency-domain quantum correlations for cluster state generation.

Findings

Quantum correlations in frequency domain are controllable via nonlinear holography.

Square cluster states exhibit squeezing below vacuum noise levels.

Method enables ultrafast, all-optical quantum state engineering.

Abstract

Multimode bright squeezed vacuum is a non-classical state of light hosting a macroscopic photon number while offering promising capacity for encoding quantum information in its spectral degree of freedom. Here, we employ an accurate model for parametric downconversion in the high-gain regime and use nonlinear holography to design quantum correlations of bright squeezed vacuum in the frequency domain. We propose the design of quantum correlations over two-dimensional lattice geometries that are all-optically controlled, paving the way toward continuous-variable cluster state generation on an ultrafast timescale. Specifically, we investigate the generation of a square cluster state in the frequency domain and calculate its covariance matrix and the quantum nullifier uncertainties, that exhibit squeezing below the vacuum noise level.