论文标题
Qudit晶格手术
Qudit lattice surgery
论文作者
论文摘要
我们观察到，晶格手术是一种耐断层量子计算的模型，直接将其概括为任意有限维Qudits。广义模型基于组代数$ \ mathbb {c} \ Mathbb {z} _d $ for $ d \ geq 2 $。它仍然需要通用量子计算的魔术状态注入。我们将模型与基于Hopf-Frobenius代数的图形语言ZX-Calculus联系起来。
We observe that lattice surgery, a model of fault-tolerant qubit computation, generalises straightforwardly to arbitrary finite-dimensional qudits. The generalised model is based on the group algebras $\mathbb{C}\mathbb{Z}_d$ for $d \geq 2$. It still requires magic state injection for universal quantum computation. We relate the model to the ZX-calculus, a diagrammatic language based on Hopf-Frobenius algebras.
