论文标题

使用群集状态测量的非CSS量子代码构建

Construction of non-CSS quantum codes using measurements on cluster states

论文作者

Shaw, Swayangprabha, Gupta, Harsh, Shah, Shahid Mehraj, Raina, Ankur

论文摘要

与众所周知的基于门的模型相比,基于测量的量子计算为量子计算提供了替代模型。它使用在特定纠缠状态下制备的量子,然后进行单量测量。簇状态的稳定器由于其图形结构而被很好地定义。我们将此图结构广泛利用为设计非CSS代码,并在集群状态上的特定基础进行测量。 %我们的目标是从$(n+1)$ QUBIT群集状态构建$ [[n,1]] $ non-CSS代码。该过程是一般的,可以专门用作用一个逻辑量子的任何非CSS代码设计的编码技术。我们显示存在一个$(n+1)$ QUBIT群集状态,该状态在测量后给出所需的$ [[n,1]] $代码。

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.

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