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Main Authors: Han, Xin-Hong, Qian, Tian, Dong, Shan-Chuan, Xiao, Ya, Gu, Yong-Jian
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2303.05954
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author Han, Xin-Hong
Qian, Tian
Dong, Shan-Chuan
Xiao, Ya
Gu, Yong-Jian
author_facet Han, Xin-Hong
Qian, Tian
Dong, Shan-Chuan
Xiao, Ya
Gu, Yong-Jian
contents Quantum steering is commonly shared among multiple observers by utilizing unsharp measurements. However, their usage is limited to local measurements and is not suitable for nonlocal-measurement-based cases. Here, we present a novel approach in this study, suggesting a highly efficient technique to construct optimal nonlocal measurements by utilizing quantum ellipsoids to share quantum steering. This technique is suitable for any bipartite state and offers benefits even in scenarios with a high number of measurement settings. Using the Greenberger-Horne-Zeilinger state as an illustration, we show that employing unsharp nonlocal product measurements can activate the phenomenon of steering sharing in contrast to using local measurements. Moreover, our findings demonstrate that nonlocal measurements with unequal strength possess a greater activation capability compared to those with equal strength. Our activation method differs from previous ones as it eliminates the need to copy the shared states or diminish other quantum correlations, thus making it convenient for practical experimentation and conservation of resources.
format Preprint
id arxiv_https___arxiv_org_abs_2303_05954
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Activation of quantum steering sharing with unsharp nonlocal product measurements
Han, Xin-Hong
Qian, Tian
Dong, Shan-Chuan
Xiao, Ya
Gu, Yong-Jian
Quantum Physics
Quantum steering is commonly shared among multiple observers by utilizing unsharp measurements. However, their usage is limited to local measurements and is not suitable for nonlocal-measurement-based cases. Here, we present a novel approach in this study, suggesting a highly efficient technique to construct optimal nonlocal measurements by utilizing quantum ellipsoids to share quantum steering. This technique is suitable for any bipartite state and offers benefits even in scenarios with a high number of measurement settings. Using the Greenberger-Horne-Zeilinger state as an illustration, we show that employing unsharp nonlocal product measurements can activate the phenomenon of steering sharing in contrast to using local measurements. Moreover, our findings demonstrate that nonlocal measurements with unequal strength possess a greater activation capability compared to those with equal strength. Our activation method differs from previous ones as it eliminates the need to copy the shared states or diminish other quantum correlations, thus making it convenient for practical experimentation and conservation of resources.
title Activation of quantum steering sharing with unsharp nonlocal product measurements
topic Quantum Physics
url https://arxiv.org/abs/2303.05954