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Protecting genuine tripartite nonlocality by weak measurement and quantum measurement reversal

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Abstract

We use weak measurement (WM) and quantum measurement reversal (QMR) techniques to suppress the degradation of genuine nonlocality of a special class of three-qubit “X” states when they suffer from the amplitude damping noise. We choose the maximal violation of the Svetlichny inequality to quantify the genuine nonlocality of states in this paper. We analyse mathematically the sufficient and necessary condition for weak measurement or QMR to enhance the genuine nonlocality of such “X” states. We propose a specific protection scheme combined WM with QMR for such states, and calculate the maximal genuine nonlocality reached by our scheme as well as the success probability. We apply our scheme to the GHZ-like states and the Werner-type states to show the protection effect.

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The datasets analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by Key Research and Development Project of Guang dong Province under Grant No. 2020B0303300001 and the Guangdong Basic and Applied Basic Research Foundation under Grant No. 2020B1515310016.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510641, People’s Republic of China

    Yue-Qiu Chen & Zhu-Jun Zheng

  2. Information Centre, Ministry of Water Resources, Beijing, 100053, China

    Xi Yong

  3. Laboratory of Quantum Science and Engineering, South China University of Technology, Guangzhou, 510641, People’s Republic of China

    Zhu-Jun Zheng

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  1. Yue-Qiu Chen
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  2. Xi Yong
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  3. Zhu-Jun Zheng
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Correspondence to Zhu-Jun Zheng.

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Chen, YQ., Yong, X. & Zheng, ZJ. Protecting genuine tripartite nonlocality by weak measurement and quantum measurement reversal. Quantum Inf Process 21, 225 (2022). https://doi.org/10.1007/s11128-022-03563-0

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