Efficient entanglement criteria beyond Gaussian limits using Gaussian measurements

TL;DR

This paper introduces a new formalism for detecting non-Gaussian entanglement using Gaussian measurements, specifically homodyne detection of EPR correlations, surpassing traditional Gaussian limits.

Contribution

The authors develop entanglement criteria beyond Gaussian regimes that are experimentally accessible and effective for a wide range of non-Gaussian states, including applications to quantum teleportation.

Findings

Effective detection of non-Gaussian entanglement with homodyne detection

Criteria applicable to realistic experimental conditions

Identification of EPR correlation functional forms in quantum teleportation

Abstract

We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary functional form enables us to detect non-Gaussian entanglement even when an entanglement test based on second-order moments fails. We illustrate the power of our experimentally friendly criteria for a broad class of non-Gaussian states under realistic conditions. We also show rigorously that quantum teleportation for continuous variables employs a specific functional form of EPR correlation.