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 $g \geq 2$. A performance analysis and an investigation of the asymptotic behavior of these codes are also presented.

翻译：本文在紧致可定向及不可定向曲面上构造了若干新型量子Floquet码。为获得此类码，我们将这些曲面与双曲多边形等同，并研究其上的双曲半正则密铺。本文所提出的构造方法推广了亏格$g \geq 2$的连通紧致曲面上双曲Floquet码的类似构造。文中还对这些码的性能进行了分析，并探讨了其渐近行为。