Entanglement purification of two-photon systems in multiple degrees of freedom

Abstract

Hyperentanglement purification is a very important element for high-capacity long-distance quantum communication. We present an efficient hyperentanglement purification protocol (hyper-EPP) for nonlocal two-photon systems in three degrees of freedom (DoFs), including the polarization, the time-bin, and the spatial-mode DoFs. Our hyper-EPP is constructed with two steps resorting to polarization–time–spatial parity-check operation using the quantum nondemolition detector and SWAP gates, respectively. With this hyper-EPP, the bit-flip errors in the three DoFs can be corrected with high efficiency. The implementation of our hyper-EPP is contributed by a cross-Kerr nonlinearity between the signal photons and a coherent state via Kerr media, which could be achieved with current techniques. Moreover, some currently available optical elements are applied in the purification process, which offer facilities for the practical implementation. It is useful for long-distance high-capacity quantum communication with hyperentanglement in multiple DoFs.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11805050, 11475054, Hebei Natural Science Foundation of China under Grant Nos. A2019205190, A2018205125, and Graduate Scientific Innovative Foundation of the Education Department of Hebei Province under Grant No. CXZZBS2019079.

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Correspondence to Fengli Yan or Ting Gao.

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Wang, M., Yan, F. & Gao, T. Entanglement purification of two-photon systems in multiple degrees of freedom. Quantum Inf Process 19, 206 (2020). https://doi.org/10.1007/s11128-020-02697-3

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Keywords

  • Hyperentanglement
  • Purification
  • Cross-Kerr nonlinearity