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Inequality relations for the hierarchy of quantum correlations in two-qubit systems

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Abstract

Entanglement, quantum steering and Bell nonlocality can be used to describe the distinct quantum correlations of quantum systems. Because of their different characteristics and application fields, how to divide them quantitatively and accurately becomes particularly important. Based on the sufficient and necessary criterion for quantum steering of an arbitrary two-qubit T-state, we derive the inequality relations between quantum steering and entanglement as well as between quantum steering and Bell nonlocality for the T-state. Additionally, we have verified those relations experimentally.

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Acknowledgements

We acknowledge Prof. Shu-Ming Cheng for helpful discussions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 12175001 and 12075001).

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  1. These authors contributed equally to this work.

Authors and Affiliations

  1. School of Physics and optoelectronics engineering, Anhui University, Hefei, 230601, China

    Xiao-Gang Fan, Fa Zhao, Dong Wang & Liu Ye

  2. Department of Experiment and Practical Training Management, West Anhui University, Lu’an, 237012, China

    Huan Yang

  3. Institute of Advanced Manufacturing Engineering, Hefei University, Hefei, 230022, China

    Fei Ming

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  1. Xiao-Gang Fan
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Correspondence to Liu Ye.

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Fan, XG., Zhao, F., Yang, H. et al. Inequality relations for the hierarchy of quantum correlations in two-qubit systems. Front. Phys. 18, 11301 (2023). https://doi.org/10.1007/s11467-022-1222-x

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