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Violation of Clauser–Horne–Shimony–Holt inequality and teleportation enhanced for a class of two-qubit X-states resulting from entanglement swapping

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Abstract

We consider entanglement swapping with two copies of a class of two-qubit X-states which do not violate Clauser–Horne–Shimony–Holt (CHSH) inequality or exceed the maximal classical teleportation fidelity. It is shown that there exists a class of initial states for which that the final states violate CHSH inequality or exceed the maximal classical channel for some results of Bell measurements. This implies that, by using entanglement swapping, it is possible to increase the violation of CHSH inequality or teleportation fidelity probabilistically. We also demonstrate that the activation of violating CHSH inequality does not represent the increase in entanglement.

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Acknowledgments

This work was supported by National Natural Science Foundation of China under Grant Nos. 11374085, 61073048, 11274010, the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20113401110002), the ‘211’ Project of Anhui University, the Anhui Provincial Natural Science Foundation 1408085MA20, the personnel department of Anhui province, and the 136 Foundation of Hefei Normal University under Grant No. 2014136KJB04.

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Authors and Affiliations

  1. Key Laboratory of Opto-Electronic Information Acquisition and Manipulation, Ministry of Education, School of Physics and Material Science, Anhui University, Hefei, 230601, People’s Republic of China

    Shu-Cheng Li, Ming Yang & Zhuo-Liang Cao

  2. Institute for Quantum Control and Quantum Information and School of Electronic and Information Engineering, Hefei Normal University, Hefei, 230601, China

    Wei Song & Zhuo-Liang Cao

  3. Department of Mechanical and Electronic Engineering, West Anhui University, Lu’an, 237012, People’s Republic of China

    Gang Zhang

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  1. Shu-Cheng Li
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  2. Wei Song
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  3. Ming Yang
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  4. Gang Zhang
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  5. Zhuo-Liang Cao
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Correspondence to Wei Song.

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Li, SC., Song, W., Yang, M. et al. Violation of Clauser–Horne–Shimony–Holt inequality and teleportation enhanced for a class of two-qubit X-states resulting from entanglement swapping. Quantum Inf Process 14, 3845–3855 (2015). https://doi.org/10.1007/s11128-015-1077-y

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