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Generation of five-photon hyperentangled cluster state with three-photon GHZ state and Bell state via weak cross-Kerr nonlinearity

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Abstract

We propose a scheme for generating a five-photon hyperentangled spatial-polarization cluster state based on weak cross-Kerr nonlinearity. Using Bell state and three-photon GHZ state as the initial states, this hyperentangled state in two degrees of freedom is generated. The success probability of our scheme can reach 100% without considering experimental conditions. Additionally, we apply a simpler and deterministic controlled-NOT gate in our scheme. Finally, we discuss the error probability of X-homodyne detection and the feasibility of implementing the scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (12247214), the Liaoning Revitalization Talents Program (XLYC1807206), the LiaoNing BaiQianWan Talents Program (2021921096), the Natural Science Foundation of Liaoning Province (2021-MS-317, 2022-MS-372), and the Education Administration Program of Liaoning Province (LJKZ1015, LJKZZ20220120, JYTMS20231614).

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Authors and Affiliations

  1. College of Physics Science and Technology, Bohai University, Jinzhou, 121013, People’s Republic of China

    Le-Jiang Yu, Zi-Lin Zhao, Zi-Qing Yuan, Li Dong & Xiao-Ming Xiu

  2. College of International Education, Bohai University, Jinzhou, 121013, People’s Republic of China

    Zhenhua Zhao

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  1. Le-Jiang Yu
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  2. Zi-Lin Zhao
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  4. Zhenhua Zhao
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  5. Li Dong
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Correspondence to Li Dong or Xiao-Ming Xiu.

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Yu, LJ., Zhao, ZL., Yuan, ZQ. et al. Generation of five-photon hyperentangled cluster state with three-photon GHZ state and Bell state via weak cross-Kerr nonlinearity. Quantum Inf Process 23, 129 (2024). https://doi.org/10.1007/s11128-024-04301-4

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