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arXiv · 2405.06255

Sharing Asymmetric Einstein-Podolsky-Rosen Steering with Projective Measurements

Yan-Xin Rong·Shuo Wang·Zhen-Fei Zhang·Yong-Jian Gu·Ya Xiao
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Abstract

Recently, both global and local classical randomness-assisted projective measurement protocols have been employed to share Bell nonlocality of an entangled state among multiple sequential parties. Unlike Bell nonlocality, Einstein-Podolsky-Rosen (EPR) steering exhibits distinct asymmetric characteristics and serves as the necessary quantum resource for one-sided device-independent quantum information tasks. In this work, we propose a projective measurement protocol and investigate the shareability of EPR steering with steering radius criterion theoretically and experimentally. Our results reveal that arbitrarily many independent parties can share one-way steerability using projective measurements, even when no shared randomness is available. Furthermore, by leveraging only local randomness, asymmetric two-way steerability can also be shared. Our work not only deepens the understanding of the role of projective measurements in sharing quantum correlations but also opens up a new avenue for reutilizing asymmetric quantum correlations.

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Yan-Xin Rong, Shuo Wang, Zhen-Fei Zhang, Yong-Jian Gu, Ya Xiao. 2024-05-10. Sharing Asymmetric Einstein-Podolsky-Rosen Steering with Projective Measurements. https://arxiv.org/abs/2405.06255

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