Haah codes on general three manifolds
Quantum Physics
2020-02-24 v3 Mathematical Physics
math.MP
Abstract
Haah codes represent a singularly interesting gapped Hamiltonian schema that has resisted a natural generalization, although recent work shows that the closely related type I fracton models are more commonplace. These type I siblings of Haah codes are better understood, and a generalized topological quantum field theory framework has been proposed. Following the same conceptual framework, we outline a program to generalize Haah codes to all 3-manifolds using Hastings' LR stabilizer codes for finite groups.
Keywords
Cite
@article{arxiv.1812.02101,
title = {Haah codes on general three manifolds},
author = {Kevin T. Tian and Eric Samperton and Zhenghan Wang},
journal= {arXiv preprint arXiv:1812.02101},
year = {2020}
}
Comments
To appear in Ann. Physics