发表机构
The University of Sydney（悉尼大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将分形化推广到时空，构建了具有受限迁移激发的分形子Floquet码，发现时空II型分形子Floquet码可产生极端量子离散时间晶体序，其容错距离超线性缩放或降低量子纠错时间开销。
AI 中文摘要
我们将分形化（一种用于构建分形子模型的方法）从空间推广到时空。我们应用时空分形化来构建具有在空间和时间中迁移能力受限的征候激发的分形子Floquet码。这将分形子序的概念扩展到与静态分形子不等价的物质的本征动力学量子相。我们发现时空II型分形子Floquet码，其在空间或时间中没有可移动的拓扑激发。这些码表现出一种极端形式的量子离散时间晶体序，其响应周期随系统线性尺寸呈指数缩放。在这种情况下，表征II型分形子的无弦规则导致Floquet码的容错距离随时间呈超线性缩放，可能降低量子纠错所需的时间开销。
英文摘要
We generalize fractalization, a procedure for the construction of fracton models, from space to spacetime. We apply spacetime fractalization to construct fracton floquet codes with syndrome excitations that have limited mobility in space and time. This extends the notion of fracton order to intrinsically dynamical quantum phases of matter that are inequivalent to static fracton phases. We find spacetime type-II fracton floquet codes which have no topological excitations that are mobile in space or time. These codes exhibit an extreme form of quantum discrete time crystal order with response periods that scale exponentially in their linear system sizes. In this context, the no-strings rule that characterizes type-II fractons leads to a superlinear scaling of the floquet code fault-distance with time, potentially lowering the time overhead required for quantum error correction.
Comments14 + 3 pages, 15 figures
