论文标题
分裂化量子代码
Fractalizing quantum codes
论文作者
论文摘要
我们介绍了“分形化”，该程序通过将自旋模型扩展到更高尺寸的“分形”自旋模型。这使我们能够解释II型分裂阶段，分形对称性拓扑阶段，以及更多地在良好的较低二维自旋模型方面。分裂化也可用于从已知的新自旋模型和量子代码中得出新的自旋模型。我们构建了具有扩展分形激发的分形式模型的更高维度的概括。最后，通过将分裂化应用于2D子系统代码，我们生产了一个本地生成的3D子系统代码的家族，该代码被猜想以使量子信息存储权衡限制饱和。
We introduce "fractalization", a procedure by which spin models are extended to higher-dimensional "fractal" spin models. This allows us to interpret type-II fracton phases, fractal symmetry-protected topological phases, and more, in terms of well understood lower-dimensional spin models. Fractalization is also useful for deriving new spin models and quantum codes from known ones. We construct higher dimensional generalizations of fracton models that host extended fractal excitations. Finally, by applying fractalization to a 2D subsystem code, we produce a family of locally generated 3D subsystem codes that are conjectured to saturate a quantum information storage tradeoff bound.
