可定向的表面

Quantum Inf. Comput. Pub Date : 2021-09-01 DOI:10.26421/qic21.13-14-4

Debashish Bhowmik, D. Maity, E. B. Silva

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引用次数: 0

摘要

Silva等人产生了与拓扑和着色相关的量子编码，这些编码与属$\ge 1$的可定向表面和属1的不可定向表面上的镶嵌有关。目前的工作提出了一种在$n\geq 1$属$ \geq 2n+1 $的非定向表面上构建量子表面和颜色代码的方法。我们还提出了一些与非定向表面相关的新表面和颜色代码表。这些码的比值$k/n$和$d/n$比从可定向表面得到的码好。

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Orientable Surfaces

Silva et al. produced quantum codes related to topology and coloring, which are associated with tessellations on the orientable surfaces of genus $\ge 1$ and the non-orientable surfaces of the genus 1. Current work presents an approach to build quantum surface and color codes} on non-orientable surfaces of genus $ \geq 2n+1 $ for $n\geq 1$. We also present several tables of new surface and color codes related to non-orientable surfaces. These codes have the ratios $k/n$ and $d/n$ better than the codes obtained from orientable surfaces.

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Quantum Inf. Comput.

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