Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study

H. Bombin, M. A. Martin-Delgado · 2007 · Phys. Rev. A 76, 012305 (2007)

| 编号 QE080 | 主题 拓扑码 | 链接 arXiv:quant-ph/0703272 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We study the resources needed to construct topological 2D stabilizer codes as a way to estimate in part their efficiency and this leads us to perform a comparative study of surface codes and color codes. This study clarifies the similarities and differences between these two types of stabilizer codes. We compute the error correcting rate $C:=n/d^2$ for surface codes $C_s$ and color codes $C_c$ in several instances. On the torus, typical values are $C_s=2$ and $C_c=3/2$, but we find that the optimal values are $C_s=1$ and $C_c=9/8$. For planar codes, a typical value is $C_s=2$, while we find that the optimal values are $C_s=1$ and $C_c=3/4$. In general, a color code encodes twice as much logical qubits as a surface code does.

本站词条在引用该文献时，会以 wikilink（sources/QE080）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。