Majorana checkerboard code[1]
Also known as Majorana cubic model code.
Description
A Majorana analogue of the X-cube model defined on a cubic lattice. The code admits weight-eight Majorana stabilizer generators on the eight vertices of each cube of a checkerboard sublattice.
Parents
- Majorana stabilizer code
- Fracton stabilizer code — The Majorana checkerboard code is a foliated type-I fracton code [2].
Cousin
- X-cube model code — The Majorana checkerboard code is equivalent via a constant-depth unitary to a semionic version of the X-cube model and some decoupled fermionic modes [2].
References
- [1]
- S. Vijay, J. Haah, and L. Fu, “A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations”, Physical Review B 92, (2015) arXiv:1505.02576 DOI
- [2]
- T. Wang, W. Shirley, and X. Chen, “Foliated fracton order in the Majorana checkerboard model”, Physical Review B 100, (2019) arXiv:1904.01111 DOI
Page edit log
- Victor V. Albert (2024-04-04) — most recent
Cite as:
“Majorana checkerboard code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/majorana_checkerboard