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Practical entanglement concentration of nonlocal polarization-spatial hyperentangled states with linear optics

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Abstract

We present some different hyperentanglement concentration protocols (hyper-ECPs) for nonlocal N-photon systems in partially polarization-spatial hyperentangled states with known parameters, resorting to linear optical elements only, including those for hyperentangled Greenberger–Horne–Zeilinger-class states and the ones for hyperentangled cluster-class states. Our hyper-ECPs have some interesting features. First, they require only one copy of nonlocal N-photon systems and do not resort to ancillary photons. Second, they work with linear optical elements, neither Bell-state measurement nor two-qubit entangling gates. Third, they have the maximal success probability with only a round of entanglement concentration, not repeating the concentration process some times. Fourth, they resort to some polarizing beam splitters and wave plates, not unbalanced beam splitters, which make them more convenient in experiment.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11674033 and the Fundamental Research Funds for the Central Universities under Grant No. 2015KJJCA01.

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Authors and Affiliations

  1. Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing, 100875, China

    Zi-Hang Wang, Xiao-Yuan Wu, Wen-Xuan Yu & Fu-Guo Deng

  2. NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Faris Alzahrani, Aatef Hobiny & Fu-Guo Deng

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  1. Zi-Hang Wang
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Wang, ZH., Wu, XY., Yu, WX. et al. Practical entanglement concentration of nonlocal polarization-spatial hyperentangled states with linear optics. Quantum Inf Process 16, 141 (2017). https://doi.org/10.1007/s11128-017-1595-x

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