X-cube model code[1]
Description
A Type-I fracton code supporting a subextensive number of logical qubits.
Decoding
Parallelized matching decoder [2].
Code Capacity Threshold
Independent \(X,Z\) noise: \(\sim 7.5\%\), higher than 3D surface code and color code [3].
Parents
References
- [1]
- S. Vijay, J. Haah, and L. Fu, “Fracton topological order, generalized lattice gauge theory, and duality”, Physical Review B 94, (2016) arXiv:1603.04442 DOI
- [2]
- B. J. Brown and D. J. Williamson, “Parallelized quantum error correction with fracton topological codes”, Physical Review Research 2, (2020) arXiv:1901.08061 DOI
- [3]
- H. Song et al., “Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry”, Physical Review Letters 129, (2022) arXiv:2112.05122 DOI
Page edit log
- Ke Liu (刘科 子竞) (2023-03-31) — most recent
- Victor V. Albert (2023-03-31)
Cite as:
“X-cube model code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/xcube