arXiv Open Access 2023

Asymmetric quantum codes on non-orientable surfaces

Waldir S. Soares Douglas F. Copatti Giuliano G. La Guardia Eduardo B. Silva

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Abstrak

In this paper, we construct new families of asymmetric quantum surface codes (AQSCs) over non-orientable surfaces of genus $g\geq 2$ 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 $g$.

Topik & Kata Kunci

quant-ph

Penulis (4)

Waldir S. Soares

Douglas F. Copatti

Giuliano G. La Guardia

Eduardo B. Silva

Format Sitasi

APA MLA BibTeX

Soares, W.S., Copatti, D.F., Guardia, G.G.L., Silva, E.B. (2023). Asymmetric quantum codes on non-orientable surfaces. https://arxiv.org/abs/2303.14803

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓