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Efficient entanglement concentration for partially entangled cluster states with weak cross-Kerr nonlinearity

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Abstract

In this paper, we propose an optimal entanglement concentration protocol (ECP) for partially entangled cluster states with the help of the weak cross-Kerr nonlinearity. We can obtain the maximally entangled cluster states assisted with the projection measurements on the additional photons. The protocol is based on optical elements, single polarization photons, cross-Kerr nonlinearity, and the conventional photon detectors, which are feasible with existing experimental technology. Numerical simulation demonstrates that by iterating the entanglement concentration process \(n=m=6\) times, the ECP has the approximate maximal success probability 100 %. Moreover, the present protocol is also suitable for partially entangled \(4N\)-photon cluster states concentration. All these advantages make this protocol more efficient and more convenient than others in the applications in quantum communication.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants Nos. 11105030 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, Lin-Lin Fan & 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. Lin-Lin Fan
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Correspondence to Yan Xia.

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Liu, HJ., Fan, LL., Xia, Y. et al. Efficient entanglement concentration for partially entangled cluster states with weak cross-Kerr nonlinearity. Quantum Inf Process 14, 2909–2928 (2015). https://doi.org/10.1007/s11128-015-1029-6

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