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Efficient entanglement concentration for concatenated Greenberger–Horne–Zeilinger state with the cross-Kerr nonlinearity

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Abstract

Concatenated Greenberger–Horne–Zeilinger (C-GHZ) state, which encodes physical qubits in a logic qubit, has great application in the future quantum communication. We present an efficient entanglement concentration protocol (ECP) for recovering less-entangled C-GHZ state into the maximally entangled C-GHZ state with the help of cross-Kerr nonlinearities and photon detectors. With the help of the cross-Kerr nonlinearity, the obtained maximally entangled C-GHZ state can be remained for other applications. Moreover, the ECP can be used repeatedly, which can increase the success probability largely. Based on the advantages above, our ECP may be useful in the future long-distance quantum communication.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11474168, 61401222, and 61475197), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20151502), the Natural Science Foundation of the Jiangsu Higher Education Institutions through Grant No. 15KJA120002, the Outstanding Youth Project of Jiangsu Province through Grant No. BK20150039, the Qing Lan Project in Jiangsu Province, and the Priority Academic Development Program of Jiangsu Higher Education Institutions, China.

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  1. Key Lab of Broadband Wireless Communication and Sensor Network Technology, Nanjing University of Posts and Telecommunications, Ministry of Education, Nanjing, 210003, China

    Jun Pan, Yu-Bo Sheng & Qin Wang

  2. College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Lan Zhou & Xing-Fu Wang

  3. College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Shi-Pu Gu

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  1. Jun Pan
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  2. Lan Zhou
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Correspondence to Yu-Bo Sheng.

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Pan, J., Zhou, L., Gu, SP. et al. Efficient entanglement concentration for concatenated Greenberger–Horne–Zeilinger state with the cross-Kerr nonlinearity. Quantum Inf Process 15, 1669–1687 (2016). https://doi.org/10.1007/s11128-016-1246-7

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