Realignment Entanglement Criterion for Continuous Bipartite Symmetric Quantum States

TL;DR

This paper introduces a realignment entanglement criterion for continuous bipartite symmetric quantum states, providing a unified inequality to determine inseparability of non-Gaussian states, including those affected by noise.

Contribution

It presents a necessary and sufficient inseparability condition for non-Gaussian states derived from symmetric Gaussian states using a simplified inequality.

Findings

The criterion effectively detects entanglement in non-Gaussian states.

It applies to states under thermal noise and amplitude damping environments.

The approach simplifies the inseparability analysis compared to previous methods.

Abstract

The separability of bipartite non-Gaussian states is studied by applying the realignment criterion with the technique of functional analysis. The realignment criterion is given as one inequality in contrast to the infinitive number of inequalities based on the moments. We give the necessary and sufficient condition of inseparability for non-Gaussian states prepared by photon subtraction or addition from symmetric Gaussian states. The entanglement criterion of non-Gaussian states evolved in thermal noise and amplitude damping environment is also obtained.