Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces
Quantum Physics
2026-04-01 v1 Information Theory
math.IT
Abstract
In this paper, we construct several new quantum Floquet codes on compact, orientable, as well as non-orientable surfaces. In order to obtain such codes, we identify these surfaces with hyperbolic polygons and examine hyperbolic semi-regular tessellations on such surfaces. The method of construction presented here generalizes similar constructions concerning hyperbolic Floquet codes on connected and compact surfaces with genus . A performance analysis and an investigation of the asymptotic behavior of these codes are also presented.
Keywords
Cite
@article{arxiv.2603.29811,
title = {Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces},
author = {Douglas F. Copatti and Giuliano G. La Guardia and Waldir S. Soares and Edson D. Carvalho and Eduardo B. Silva},
journal= {arXiv preprint arXiv:2603.29811},
year = {2026}
}