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Hyperentanglement concentration for polarization–spatial–time-bin hyperentangled photon systems with linear optics

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Abstract

Hyperentanglement has significant applications in quantum information processing. Here we present an efficient hyperentanglement concentration protocol (hyper-ECP) for partially hyperentangled Bell states simultaneously entangled in polarization, spatial-mode and time-bin degrees of freedom (DOFs) with the parameter-splitting method, where the parameters of the partially hyperentangled Bell states are known to the remote parties. In this hyper-ECP, only one remote party is required to perform some local operations on the three DOFs of a photon, only the linear optical elements are considered, and the success probability can achieve the maximal value. Our hyper-ECP can be easily generalized to concentrate the N-photon partially hyperentangled Greenberger–Horne–Zeilinger states with known parameters, where the multiple DOFs have largely improved the channel capacity of long-distance quantum communication. All of these make our hyper-ECP more practical and useful in high-capacity long-distance quantum communication.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11604226, 11674033 and 11474026, the Fundamental Research Funds for the Central Universities under Grant No. 2015KJJCA01 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, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing, 100875, China

    Hong Wang & Fu-Guo Deng

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

    Hong Wang, Faris Alzahrani, Aatef Hobiny & Fu-Guo Deng

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

    Hong Wang & Bao-Cang Ren

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  1. Hong Wang
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Correspondence to Bao-Cang Ren or Fu-Guo Deng.

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Wang, H., Ren, BC., Alzahrani, F. et al. Hyperentanglement concentration for polarization–spatial–time-bin hyperentangled photon systems with linear optics. Quantum Inf Process 16, 237 (2017). https://doi.org/10.1007/s11128-017-1688-6

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