Sierpinsky fractal spin-liquid (SFSL) code[1,2] 

Description

A fractal type-I fracton CSS code defined on a cubic lattice [3; Eq. (D22)]. The code admits an excitation-moving operator shaped like a Sierpinski triangle [3; Fig. 2].

Parents

Cousin

  • Classical fractal liquid code — Both the classical fractal liquid code and the Sierpinsky fractal spin-liquid code utilize the Sierpinski triangle in their constructions. The latter code admits an excitation-moving operator shaped like a Sierpinski triangle [3; Fig. 2].

References

[1]
C. Castelnovo and C. Chamon, “Topological quantum glassiness”, Philosophical Magazine 92, 304 (2012) arXiv:1108.2051 DOI
[2]
B. Yoshida, “Exotic topological order in fractal spin liquids”, Physical Review B 88, (2013) arXiv:1302.6248 DOI
[3]
A. Dua et al., “Sorting topological stabilizer models in three dimensions”, Physical Review B 100, (2019) arXiv:1908.08049 DOI
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Zoo Code ID: sierpinsky_fractal_liquid

Cite as:
“Sierpinsky fractal spin-liquid (SFSL) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/sierpinsky_fractal_liquid
BibTeX:
@incollection{eczoo_sierpinsky_fractal_liquid, title={Sierpinsky fractal spin-liquid (SFSL) code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/sierpinsky_fractal_liquid} }
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Cite as:

“Sierpinsky fractal spin-liquid (SFSL) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/sierpinsky_fractal_liquid

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/fracton/sierpinsky_fractal_liquid.yml.