The Measurement-based quantum computation provides an alternate model for quantum computation compared to the well-known gate-based model. It uses qubits prepared in a specific entangled state followed by single-qubit measurements. The stabilizers of cluster states are well defined because of their graph structure. We exploit this graph structure extensively to design non-CSS codes using measurement in a specific basis on the cluster state. % We aim to construct $[[n,1]]$ non-CSS code from a $(n+1)$ qubit cluster state. The procedure is general and can be used specifically as an encoding technique to design any non-CSS codes with one logical qubit. We show there exists a $(n+1)$ qubit cluster state which upon measurement gives the desired $[[n,1]]$ code.

翻译：基于计量的量子计算提供了与众所周知的基于门的模型相比的量子计算替代模式。 它使用在特定缠绕状态下制作的qubit, 并随后使用单位平位测量。 集国家的稳定因素因其图形结构而定义明确。 我们广泛利用这个图形结构来设计非CSS代码, 使用集位状态的特定测量方法。% 我们的目标是用$[n, 1] 来从$[n, 1] 的qubit组状态中构建 $[n, 1] 的非CSS 代码。 程序是通用的, 可以专门用作一种编码技术,用一种逻辑平位设计任何非 CSS 代码。 我们显示存在一个$(n+1) qubit 的基点状态, 在测量时会给出理想的 $[n, 1] 代码。