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Purification of the concatenated Greenberger–Horne–Zeilinger state with linear optics

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Abstract

Logic qubit plays an important role in quantum computation. Recent research showed that logic qubit entanglement can be used in long-distance quantum communication. In this paper, we describe an entanglement purification protocol (EPP) for one type of logic qubit entanglement, named concatenated Greenberger–Horne–Zeilinger(C-GHZ) state. Not only the logic bit-flip and phase-flip errors in the C-GHZ state but also the single physical qubit bit-flip and phase-flip errors in the logic qubit can be purified. This EPP does not require the sophisticated controlled-not gate, but only requires some feasible linear optical elements, which is feasible in the current experimental condition.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11474168 and 11747161.

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Authors and Affiliations

  1. Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Xu-Dong Wu, Wei Zhong & Yu-Bo Sheng

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

    Xu-Dong Wu, Wei Zhong & Yu-Bo Sheng

  3. School of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Lan Zhou

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  1. Xu-Dong Wu
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  2. Lan Zhou
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Correspondence to Yu-Bo Sheng.

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Wu, XD., Zhou, L., Zhong, W. et al. Purification of the concatenated Greenberger–Horne–Zeilinger state with linear optics. Quantum Inf Process 17, 255 (2018). https://doi.org/10.1007/s11128-018-2020-9

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