Non-Gaussian continuous-variable entanglement and steering

TL;DR

This paper proposes a method to generate non-Gaussian continuous-variable entangled states using Kerr-squeezed beams and characterizes their entanglement with standard criteria, enabling practical detection with existing technology.

Contribution

It introduces a scheme for creating non-Gaussian entangled states via Kerr squeezing and beamsplitters, with characterization methods compatible with homodyne detection.

Findings

Non-Gaussian entangled states can be generated with Kerr squeezing and beamsplitters.

The entanglement is characterized using Duan-Simon and Reid EPR criteria.

Homodyne detection can effectively characterize these non-Gaussian states.

Abstract

Two Kerr-squeezed optical beams can be combined in a beamsplitter to produce non-Gaussian continuous-variable entangled states. We characterize the non-Gaussian nature of the output by calculating the third-order cumulant of quadrature variables, and predict the level of entanglement that could be generated by evaluating the Duan-Simon and Reid Einstein-Podolsky-Rosen criteria. These states have the advantage over Gaussian states and non-Gaussian measurement schemes in that the well known, efficient and proven technology of homodyne detection may be used for their characterisation. A physical demonstration maintaining the important features of the model could be realised using two optical fibres, beamsplitters, and homodyne detection.