Steering Witness and Steering Criterion of Gaussian States

Quantum steering is an important quantum resource, which is intermediate between entanglement and Bell nonlocality. In this paper, we study steering witnesses for Gaussian states in continuous-variable systems. We give a definition of steering witnesses by covariance matrices of Gaussian states, and...

Descripción completa

Detalles Bibliográficos
Autores principales: Ma, Ruifen, Yan, Taotao, Wu, Dantong, Qi, Xiaofei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8774888/
https://www.ncbi.nlm.nih.gov/pubmed/35052089
http://dx.doi.org/10.3390/e24010062
_version_ 1784636451129917440
author Ma, Ruifen
Yan, Taotao
Wu, Dantong
Qi, Xiaofei
author_facet Ma, Ruifen
Yan, Taotao
Wu, Dantong
Qi, Xiaofei
author_sort Ma, Ruifen
collection PubMed
description Quantum steering is an important quantum resource, which is intermediate between entanglement and Bell nonlocality. In this paper, we study steering witnesses for Gaussian states in continuous-variable systems. We give a definition of steering witnesses by covariance matrices of Gaussian states, and then obtain a steering criterion by steering witnesses to detect steerability of any [Formula: see text]-mode Gaussian states. In addition, the conditions for two steering witnesses to be comparable and the optimality of steering witnesses are also discussed.
format Online
Article
Text
id pubmed-8774888
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-87748882022-01-21 Steering Witness and Steering Criterion of Gaussian States Ma, Ruifen Yan, Taotao Wu, Dantong Qi, Xiaofei Entropy (Basel) Article Quantum steering is an important quantum resource, which is intermediate between entanglement and Bell nonlocality. In this paper, we study steering witnesses for Gaussian states in continuous-variable systems. We give a definition of steering witnesses by covariance matrices of Gaussian states, and then obtain a steering criterion by steering witnesses to detect steerability of any [Formula: see text]-mode Gaussian states. In addition, the conditions for two steering witnesses to be comparable and the optimality of steering witnesses are also discussed. MDPI 2021-12-29 /pmc/articles/PMC8774888/ /pubmed/35052089 http://dx.doi.org/10.3390/e24010062 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ma, Ruifen
Yan, Taotao
Wu, Dantong
Qi, Xiaofei
Steering Witness and Steering Criterion of Gaussian States
title Steering Witness and Steering Criterion of Gaussian States
title_full Steering Witness and Steering Criterion of Gaussian States
title_fullStr Steering Witness and Steering Criterion of Gaussian States
title_full_unstemmed Steering Witness and Steering Criterion of Gaussian States
title_short Steering Witness and Steering Criterion of Gaussian States
title_sort steering witness and steering criterion of gaussian states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8774888/
https://www.ncbi.nlm.nih.gov/pubmed/35052089
http://dx.doi.org/10.3390/e24010062
work_keys_str_mv AT maruifen steeringwitnessandsteeringcriterionofgaussianstates
AT yantaotao steeringwitnessandsteeringcriterionofgaussianstates
AT wudantong steeringwitnessandsteeringcriterionofgaussianstates
AT qixiaofei steeringwitnessandsteeringcriterionofgaussianstates

Ejemplares similares