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General hyperentanglement concentration for polarization-spatial-time-bin multi-photon systems with linear optics

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Abstract

Hyperentanglement has attracted considerable attention recently because of its high-capacity for long-distance quantum communication. In this study, we present a hyperentanglement concentration protocol (hyper-ECP) for nonlocal three-photon systems in the polarization, spatial-mode, and time-bin partially hyperentangled Greenberger–Horne–Zeilinger (GHZ) states using the Schmidt projection method. In our hyper-ECP, the three distant parties must perform the parity-check measurements on the polarization, spatial-mode, and time-bin degrees of freedom, respectively, using linear optical elements and Pockels cells, and only two identical nonlocal photon systems are required. This hyper-ECP can be directly extended to the N-photon hyperentangled GHZ states, and the success probability of this general hyper-ECP for a nonlocal N-photon system is the optimal one, regardless of the photon number N.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants Nos. 11604226, 11674033, and 11474026, and the Science and Technology Program Foundation of the Beijing Municipal Commission of Education of China under Grant No. KM201710028005.

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Authors and Affiliations

  1. Department of Physics, Capital Normal University, Beijing, 100048, China

    Hong Wang, Bao-Cang Ren & Ai Hua Wang

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

    Hong Wang & Fu-Guo Deng

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

    Ahmed Alsaedi, Tasawar Hayat & Fu-Guo Deng

  4. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan

    Tasawar Hayat

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  1. Hong Wang
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  2. Bao-Cang Ren
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Wang, H., Ren, BC., Wang, A.H. et al. General hyperentanglement concentration for polarization-spatial-time-bin multi-photon systems with linear optics. Front. Phys. 13, 130315 (2018). https://doi.org/10.1007/s11467-018-0801-3

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