Description
We present a systematic approach for constructing Hamiltonians of topological stabilizer codes in arbitrary dimensions. Our method naturally categorizes the resulting Hamiltonians into distinct classes, such as surface codes and both foliated and non-foliated type-I fracton models in three dimensions. Additionally, it provides their tensor network representations and describes their gapped boundaries. Our approach is based on gauging d-dimensional symmetries, where iterative application leads to the emergence of (d+1)-dimensional gauge codes. This work builds on the results of Nat. Commun. 15 (1), 7986, and arXiv:2410.09044.
Primary author
Jose Garre Rubio
(IFT)
