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Efficient hyperentanglement concentration for N-particle Greenberger–Horne–Zeilinger state assisted by weak cross-Kerr nonlinearity

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Abstract

In this scheme, based on the weak cross-Kerr nonlinearity, an hyperconcentration protocol for the arbitrary partially hyperentangled N-particle Greenberger–Horne–Zeilinger (GHZ) state is presented. Considering the N photons initially in the nonmaximally hyperentangled GHZ state in which photons are entangled simultaneously in the polarization and the spatial-mode degrees of freedom, we can obtain the maximally hyperentangled N-particle GHZ state by the projection measurements on the additional photons. Numerical simulation demonstrates that by iterating the entanglement concentration process, we can improve the success probability of the scheme. Furthermore, we discuss the feasibility of the setups of the protocol, concluding that the present protocol is feasible with existing experimental technology. All these advantages make this scheme more efficient and more convenient in quantum communication.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575045 and 11374054, the Foundation of Ministry of Education of China under Grant No. 212085, and the Major State Basic Research Development Program of China under Grant No. 2012CB921601.

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Authors and Affiliations

  1. Department of Physics, Fuzhou University, Fuzhou, 350002, China

    Huan-Juan Liu & Yan Xia

  2. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Jie Song

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  1. Huan-Juan Liu
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  2. Yan Xia
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Correspondence to Yan Xia.

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Liu, HJ., Xia, Y. & Song, J. Efficient hyperentanglement concentration for N-particle Greenberger–Horne–Zeilinger state assisted by weak cross-Kerr nonlinearity. Quantum Inf Process 15, 2033–2052 (2016). https://doi.org/10.1007/s11128-016-1258-3

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