Fibonacci fractal spin-liquid code[1]
Description
A fractal type-I fracton CSS code defined on a cubic lattice [2; Eq. (D23)].Cousins
- Fibonacci code— The Fibonacci fractal spin-liquid code is a hypergraph product of the repetition code and the Fibonacci code [1], and can be formulated directly as a BP code [3].
- Repetition code— The Fibonacci fractal spin-liquid code is a hypergraph product of the repetition code and the Fibonacci code [1], and can be formulated directly as a BP code [3].
- Balanced product (BP) code— The Fibonacci fractal spin-liquid code is a hypergraph product of the repetition code and the Fibonacci code [1], and can be formulated directly as a BP code [3].
Primary Hierarchy
Parents
The Fibonacci fractal spin-liquid code is a fractal type-I fracton code [2].
Fibonacci fractal spin-liquid code
References
- [1]
- B. Yoshida, “Exotic topological order in fractal spin liquids”, Physical Review B 88, (2013) arXiv:1302.6248 DOI
- [2]
- A. Dua, I. H. Kim, M. Cheng, and D. J. Williamson, “Sorting topological stabilizer models in three dimensions”, Physical Review B 100, (2019) arXiv:1908.08049 DOI
- [3]
- Y. Tan, B. Roberts, N. Tantivasadakarn, B. Yoshida, and N. Y. Yao, “Fracton models from product codes”, (2024) arXiv:2312.08462
Page edit log
- Victor V. Albert (2023-04-12) — most recent
Cite as:
“Fibonacci fractal spin-liquid code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/fibonacci_fractal_liquid