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Error resilience of fracton codes and near saturation of code-capacity threshold in three dimensions

Giovanni Canossa1,2, Lode Pollet1,2, Miguel A. Martin-Delgado3,4, Hao Song5,*, and Ke Liu6,7,1,2,†

  • 1Arnold Sommerfeld Center for Theoretical Physics, University of Munich, 80333 München, Germany
  • 2Munich Center for Quantum Science and Technology (MCQST), 80799 München, Germany
  • 3Departamento de Física Teórica, Universidad Complutense, 28040 Madrid, Spain
  • 4CCS-Center for Computational Simulation, Universidad Politócnica de Madrid, 28660 Boadilla del Monte, Madrid, Spain
  • 5Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 6Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China
  • 7Shanghai Research Center for Quantum Science and CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China

  • *Contact author: songhao@itp.ac.cn
  • †Contact author: ke.liu@ustc.edu.cn

Phenomenological noise models and optimal thresholds of the 3D toric code

Ji-Ze Xu, Yin Zhong, Miguel A Martin-Delgado, Hao Song, and Ke Liu

Quantum Sci. Technol. 11 035022 (2026)

Fragmented topological excitations in generalized hypergraph product codes

Meng-Yuan Li and Yue Wu

Phys. Rev. B 114 225110 (2026)

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