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Purification for hybrid logical qubit entanglement

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Abstract

Hybrid logical qubit entangled state (HLES) that consists of both polarization part and coherent state part has drawn much attention and been applied in many quantum information protocols. However, the HLES is inevitable to suffer from environmental noise and may degrade to a mixed state. In this paper, we present a hybrid logical qubit entanglement purification protocol (HLEPP) that can distill one copy of high-quality HLES from two same low-quality copies. This HLEPP can directly purify the bit-flip errors occurring in the polarization part, the coherent state part, and the logical qubit, respectively. In addition, this HLEPP can also work in the photon loss condition. This protocol only requires linear optical elements, so that it is feasible in current experimental technology. Our work may have potential applications in future hybrid entanglement-based quantum information protocols.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 11974189 and 12175106) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (KYCX20-0818).

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Authors and Affiliations

  1. College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Cheng-Chen Luo & Yu-Bo Sheng

  2. School of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Lan Zhou

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

    Cheng-Chen Luo, Wei Zhong & Yu-Bo Sheng

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  1. Cheng-Chen Luo
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Luo, CC., Zhou, L., Zhong, W. et al. Purification for hybrid logical qubit entanglement. Quantum Inf Process 21, 300 (2022). https://doi.org/10.1007/s11128-022-03646-y

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