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Economical multi-photon polarization entanglement purification with Bell state

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Abstract

We present an economical entanglement purification protocol for the multi-photon polarization-entangled system in a Greenberger–Horne–Zeilinger (GHZ) state. We use one pair of two-photon Bell state or M-photon GHZ state (\(M<N\)) to correct the error in the polarization entanglement of an N-photon system. This protocol only uses linear optical elements, so that it is feasible in current experiment. The parties can obtain a high-quality entangled polarization state from each less-entangled N-photon system, by consuming only the Bell state, or the M-photon GHZ state. It is far different from conventional multipartite entanglement purification protocols. It also requires less local operation and classical communication than other purification protocols. Our protocol especially suits for the case where we can precisely know which channel or channels are more noisy. This protocol may be useful in current and future long-distance quantum communication.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 11974189).

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Authors and Affiliations

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

    Lan Zhou

  2. College of Telecommunications & Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Ze-Kai Liu, Yi-Lun Cui, Hai-Jiang Ran & Yu-Bo Sheng

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

    Yu-Bo Sheng

  4. Bell Honors School, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Zi-Xuan Xu

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

    Lan Zhou & Yu-Bo Sheng

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  1. Lan Zhou
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Zhou, L., Liu, ZK., Xu, ZX. et al. Economical multi-photon polarization entanglement purification with Bell state. Quantum Inf Process 20, 257 (2021). https://doi.org/10.1007/s11128-021-03192-z

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