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Masking quantum information in the Kitaev Abelian anyons

Author

Listed:
  • Shen, Yao
  • Zhang, Fu-Lin
  • Chen, Yu-Zhu
  • Zhou, Chi-Chun

Abstract

Quantum information masking is a task in which quantum information is stored in quantum correlations but hidden from the reduced subsystems. The task is not available in bipartite systems, which becomes known as no-masking theorem. Here, we propose two multipartite maskers in the systems of the Kitaev Abelian anyons. One is an eight-qudit scheme on the basis of the correspondence between the Gentile statistics and the Abelian anyons, the other is an alternative four-qubit case as a complement. Gentile statistics is a useful tool in computational physics and neural networks. Our work may enable the masking of quantum information to be implemented in topological quantum systems.

Suggested Citation

  • Shen, Yao & Zhang, Fu-Lin & Chen, Yu-Zhu & Zhou, Chi-Chun, 2023. "Masking quantum information in the Kitaev Abelian anyons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    • Handle: RePEc:eee:phsmap:v:612:y:2023:i:c:s037843712300050x
    DOI: 10.1016/j.physa.2023.128495
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    References listed on IDEAS

    as
    1. Shen, Yao & Ai, Qing & Long, Gui Lu, 2010. "The relation between properties of Gentile statistics and fractional statistics of anyon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1565-1570.
    2. Shen, Yao & Zhou, Chi-Chun & Chen, Yu-Zhu, 2022. "The elementary excitation of spin lattice models: The quasiparticles of Gentile statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    3. Dai, Wu-Sheng & Xie, Mi, 2004. "A representation of angular momentum (SU(2)) algebra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(3), pages 497-504.
    4. Ubriaco, Marcelo R., 2013. "Stability and anyonic behavior of systems with M-statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4868-4873.
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    1. Shen, Yao & Zhou, Chi-Chun & Chen, Yu-Zhu, 2022. "The elementary excitation of spin lattice models: The quasiparticles of Gentile statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).

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