2023/03/26 by Waldir Silva Soares, Douglas Fernando Copatti, Soares, Waldir S. +5
Computer Science · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2303.14803
openalex publication_date 2023/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we construct new families of asymmetric quantum surface codes (AQSCs) over non-orientable surfaces of genus g≥ 2 by applying tools of hyperbolic geometry. More precisely, we prove that if the genus g of a non-orientable surface is even (g=2h), then the parameters of the corresponding AQSC are equal to the parameters of a surface code obtained from an orientable surface of genus h. Additionally, if S is a non-orientable surface of genus g, we show that the new surface code constructed on a \p, q\ tessellation over S has the ratio k/n better than the ratio of an AQSC constructed on the same \p, q\ tessellation over an orientable surface of the same genus g.