A tighter steering criterion using the Robertson-Schrodinger uncertainty relation

TL;DR

This paper introduces a new, tighter quantum steering criterion based on the Robertson-Schrodinger uncertainty relation, improving detection of steerability in non-Gaussian entangled states where previous methods failed.

Contribution

The authors derive a novel steering criterion using the Robertson-Schrodinger relation that outperforms the Reid criterion for non-Gaussian states.

Findings

Detects steerability in non-Gaussian states like NOON and photon-subtracted states

Outperforms previous Heisenberg-based criteria

Applicable to various entangled eigenstates of harmonic oscillators

Abstract

We consider quantum steering by non-Gaussian entangled states. The Reid steering criterion based on the Heisenberg uncertainty relation fails to detect steerability for many categories of such states. Here, we derive a tighter steering criterion using the Robertson-Schr\"{o}dinger uncertainty relation. We show that our steering condition is able to detect steerability of several classes of non-Gaussian states such as entangled eigenstates of the two-dimensional harmonic oscillator, the photon subtracted squeezed vacuum state and the NOON state.