Detecting Einstein-Podolsky-Rosen Steering for Continuous Variable Wavefunctions

TL;DR

This paper investigates EPR steering in continuous variable wavefunctions using Reid's and entropic criteria, revealing limitations of these criteria in fully detecting EPR steering.

Contribution

It demonstrates that Reid's and entropic inequalities are not necessary and sufficient for EPR steering detection in certain entangled states.

Findings

Not all entangled states violate Reid's inequality

Not all entangled states violate entropic inequality

Both criteria are insufficient alone to detect EPR steering

Abstract

By use of Reid's criterion and entropic criterion, we investigate the Einstein-Podolsky-Rosen (EPR) steering for some entangled continuous variable wavefunctions. We find that not all of the entangled states violate Reid's EPR inequality and the entropic inequality, this in turn suggests that both criteria are not necessary and sufficient conditions to detect the EPR steering.