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Efficient generation protocol for the three-level logical entangled states

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Abstract

The three-level logical entanglement which includes the logical level, block level, and physical level has an important application in quantum repeater to achieve fast and efficient long distance quantum communication. In the paper, we propose the first generation protocol of the three-level logical Greenberger–Horne–Zeilinger (GHZ) state with single photons. We adopt the cross-Kerr nonlinearity to construct the qubit-parity meter. In this generation protocol, we first generate the physical GHZ state and then transform each of its physical qubit into a block and finally generate the three-level logical GHZ state. The whole generation process can be deterministic in theory. This protocol only requires two different cross-Kerr nonlinearities and does not require the sophisticated Toffoli gates. Based on above features, our generation protocol may have application potential in the future quantum communication field.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11974189 and 12175106.

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Authors and Affiliations

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

    Chuang Li & Lan Zhou

  2. College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Chuang Li & Yu-Bo Sheng

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

    Wei Zhong

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

    Wei Zhong & Yu-Bo Sheng

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  1. Chuang Li
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  2. Lan Zhou
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Correspondence to Lan Zhou.

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Li, C., Zhou, L., Zhong, W. et al. Efficient generation protocol for the three-level logical entangled states. Quantum Inf Process 21, 178 (2022). https://doi.org/10.1007/s11128-022-03521-w

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