Description
Member of a family of \([L^D,O(L^{D-1}),O(L^{D-\epsilon})]_p\) linear codes on \(D\)-dimensional square lattices of side length \(L\) and for some prime \(p\) and \(\epsilon > 0\) that is based on \(p\)-ary generalizations of the Sierpinski triangle.
Protection
Parameters of some code families saturate the classical version of the BPT bound [1].
Parent
Child
Cousin
- Hamiltonian-based code — Fractal liquid codewords form the ground-state space of a class of spin-glass models with three-body interactions.
References
- [1]
- B. Yoshida, “Information storage capacity of discrete spin systems”, Annals of Physics 338, 134 (2013) arXiv:1111.3275 DOI
- [2]
- B. Yoshida, “Exotic topological order in fractal spin liquids”, Physical Review B 88, (2013) arXiv:1302.6248 DOI
Page edit log
- Victor V. Albert (2023-04-12) — most recent
Cite as:
“Fractal liquid code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/classical_fractal_liquid