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Hyperentanglement-assisted hyperdistillation for hyper-encoding photon system

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Abstract

In quantum information processing, the quality of photon system is decreased by the inevitable interaction with environment, which will greatly reduce the efficiency and security of quantum information processing. In this paper, we propose hyperentanglement-assisted hyperdistillation schemes to guarantee the quality of hyper-encoding photon system based on the method of quantum hyper-teleportation, which can increase the success probability of hyperdistillation and reduce the resource consumption. First, we propose a hyperentanglement-assisted single-photon hyperdistillation (HASPHD) scheme for polarization and spatial qubits to get rid of the vacuum state component caused by transmission loss, whose success probability can achieve the optimal one by increasing the efficiency of quantum hyper-teleportation. Subsequently, we present two hyperentanglement-assisted hyperentanglement distillation (HAHED) schemes for photon system to protect hyperentanglement from both transmission loss and quantum channel noise, which can recover the less-entangled mixed state to maximally hyperentangled state for known-parameter and unknown-parameter cases with high success probability and low resource consumption. In these hyperdistillation schemes, the influence of imperfect effects of optical elements can be largely decreased by the quantum hyper-teleportation method. These characters make the hyperentanglement-assisted hyperdistillation schemes have potential application prospects in practical quantum information processing.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11604226, 61901420, and 11804236, the Program of Beijing Municipal Commission of Education of China under Grant Nos. CIT&TCD201904080 and KM201810028005, Shanxi Province Science Foundation for Youths under Grant No. 201901D211235, Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Grant No. 2019L0507, Shanxi 1331 Project Key Subjects Construction, and Capital Normal University classified development Program.

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  1. Department of Physics, Capital Normal University, Beijing, 100048, China

    Peng Wang, Chang-Qi Yu, Zi-Xu Wang, Rui-Yang Yuan & Bao-Cang Ren

  2. Science and Technology on Electronic Test and Measurement Laboratory, North University of China, Taiyuan, 030051, China

    Fang-Fang Du

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  1. Peng Wang
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Correspondence to Fang-Fang Du or Bao-Cang Ren.

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Wang, P., Yu, CQ., Wang, ZX. et al. Hyperentanglement-assisted hyperdistillation for hyper-encoding photon system. Front. Phys. 17, 31501 (2022). https://doi.org/10.1007/s11467-021-1120-7

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