Sudden death and revival of Gaussian Einstein-Podolsky-Rosen steering in noisy channels

TL;DR

This paper investigates how noise and loss in quantum channels affect Gaussian EPR steering, demonstrating its sudden death and revival, and providing insights for secure quantum communication in noisy environments.

Contribution

It reveals that noise can cause the sudden death of Gaussian EPR steering and demonstrates how to revive it using correlated noisy channels, advancing understanding of EPR steering in practical settings.

Findings

Impurity of states does not cause sudden death of EPR steering.

Noise in channels can lead to sudden death of EPR steering.

Revival of EPR steering is possible through correlated noisy channels.

Abstract

Einstein-Podolsky-Rosen (EPR) steering is a useful resource for secure quantum information tasks. It is crucial to investigate the effect of inevitable loss and noise in quantum channels on EPR steering. We analyze and experimentally demonstrate the influence of purity of quantum states and excess noise on Gaussian EPR steering by distributing a two-mode squeezed state through lossy and noisy channels, respectively. We show that the impurity of state never leads to sudden death of Gaussian EPR steering, but the noise in quantum channel can. Then we revive the disappeared Gaussian EPR steering by establishing a correlated noisy channel. Different from entanglement, the sudden death and revival of Gaussian EPR steering are directional. Our result confirms that EPR steering criteria proposed by Reid and I. Kogias et al. are equivalent in our case. The presented results pave way for asymmetric quantum information processing exploiting Gaussian EPR steering in noisy environment.