Detection of bound entanglement in continuous variable systems

TL;DR

This paper introduces new entanglement criteria to identify bound entangled states in continuous variable systems, successfully detecting both Gaussian and non-Gaussian bound entangled states previously studied.

Contribution

It develops specific entanglement conditions that can detect bound entanglement in continuous variable systems, including Gaussian and non-Gaussian states.

Findings

Successfully detects bound entangled Gaussian states

Identifies bound entangled non-Gaussian states

Provides practical criteria for entanglement detection

Abstract

We present several entanglement conditions in order to detect bound entangled states in continuous variable systems. Specifically, Werner and Wolf [Phys. Rev. Lett. 86, 3658 (2001)] and Horodecki and Lewenstein [Phys. Rev. Lett. 85, 2657 (2000)] have proposed examples of bound entangled Gaussian state and bound entangled non-Gaussian state, respectively, of which entanglement can be detected by using our entanglement conditions.