Universal quantum computation using fractal symmetry-protected cluster phases
Universal quantum computation using fractal symmetry-protected cluster phases
复制标题
DOI：
10.1103/physreva.98.022332
复制
发表时间：
2018-06
影响因子：
2.9
通讯作者：
T. Devakul;D. Williamson
中科院分区：
文献类型：
--
作者：
T. Devakul;D. Williamson
我们表明，2D分形子系统对称性保护的拓扑阶段可以作为基于通用测量的量子计算的资源。对于已知存在于分形对称保护的拓扑阶段的两个聚类模型的明确证明，计算普遍性在整个阶段都持续存在。所考虑的模型之一就是在一个极限的蜂窝晶状体上的群集模型。我们讨论了刚性子系统对称性的重要性，而不是在这种情况下，与全局或$（\ text {d} -1）$ - 形式对称的重要性。
We show that 2D fractal subsystem symmetry-protected topological phases may serve as resources for universal measurement-based quantum computation. This is demonstrated explicitly for two cluster models known to lie within fractal symmetry-protected topological phases, and computational universality is shown to persist throughout those phases. One of the models considered is simply the cluster model on the honeycomb lattice in one limit. We discuss the importance of rigid subsystem symmetries, as opposed to global or $(\text{D}-1)$-form symmetries, in this context.