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Entanglement Measure and Quantum Violation of Bell-Type Inequality

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Abstract

By calculating entanglement measures and quantum violation of Bell-type inequality, we reveal the relationship between entanglement measure and the amount of quantum violation for a family of four-qubit entangled states. It has been demonstrated that the Bell-type inequality is completely violated by these four-qubit entangled states. The plot of entanglement measure as a function of the expectation value of Bell operator shows that entanglement measure first decreases and then increases smoothly with increasing quantum violation.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos: 11475054, 11371005, 11547169, Hebei Natural Science Foundation of China under Grant Nos: A2014205060, A2016205145, the Research Project of Science and Technology in Higher Education of Hebei Province of China under Grant No: Z2015188, the Graduate Innovation Project of Hebei Province of China under Grant No: sj2015004, Langfang Key Technology Research and Development Program of China under Grant No: 2014011002.

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Authors and Affiliations

  1. Department of Basic Curriculum, North China Institute of Science and Technology, Beijing, 101601, China

    Dong Ding

  2. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang, 050024, China

    Dong Ding, Ying-Qiu He & Feng-Li Yan

  3. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, China

    Ting Gao

Authors
  1. Dong Ding
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  2. Ying-Qiu He
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  3. Feng-Li Yan
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  4. Ting Gao
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Correspondence to Feng-Li Yan or Ting Gao.

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Ding, D., He, YQ., Yan, FL. et al. Entanglement Measure and Quantum Violation of Bell-Type Inequality. Int J Theor Phys 55, 4231–4237 (2016). https://doi.org/10.1007/s10773-016-3048-1

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  • DOI: https://doi.org/10.1007/s10773-016-3048-1

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