A general inseparability criterion for non-Gaussian states

TL;DR

This paper introduces a broad inseparability criterion for two-mode non-Gaussian continuous variable states, enabling detection of entanglement through a criterion based on the Cauchy-Schwarz inequality.

Contribution

It presents a new general separability criterion for non-Gaussian states, extending previous methods and linking to higher-order correlation inequalities.

Findings

Criterion provides a sufficient condition for entanglement detection.

It aligns with previous higher-order correlation inequalities.

Offers a practical test for non-Gaussian entanglement.

Abstract

We have derived a general separability criterion for a class of two mode non-Gaussian continuous variable systems, obtained earlier using PPT, violation of which provides sufficient condition for entanglement. It has been obtained by utilizing the Cauchy-Schwarz inequality and from the basic definition of separable states. This criterion coincides with the work of Agarwal and Biswas [4] which involved inequality involving higher order correlation, for testing entanglement in non-Gaussian states.