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Some Characterizations of EPR Steering

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Abstract

Einstein-Podolsky-Rosen(EPR) steering is one of important quantum correlations of a composite quantum system, which was observed firstly by Schrödinger in the context of the famous EPR paradox and has been discussed recently. In this paper, we give some characterizations of EPR steerability of bipartite states by proving some necessary and sufficient conditions for a state to be unsteerable with a measurement assemblage of Alice. Based on one of the obtained characterizations, we derive an EPR steering inequality, which serves to check EPR steerability of the maximally entangled states.

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Acknowledgments

This subject was supported by the National Natural Science Foundation of China (11771009, 11571211, 11571213), the Fundamental Research Funds for the Central Universities (GK201703010) and the project of Science and Technology Young Star in Shaanxi (2018KJXX-054).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, China

    Zi-Wei Li, Zhi-Hua Guo & Huai-Xin Cao

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  1. Zi-Wei Li
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  2. Zhi-Hua Guo
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  3. Huai-Xin Cao
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Correspondence to Zhi-Hua Guo.

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Li, ZW., Guo, ZH. & Cao, HX. Some Characterizations of EPR Steering. Int J Theor Phys 57, 3285–3295 (2018). https://doi.org/10.1007/s10773-018-3843-y

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