论文标题
物质的拓扑阶段，量子误差校正和拓扑扭曲
Topological phases of matter, Quantum Error Correction and Topological twist
论文作者
论文摘要
单一模块化张量类别（UMTC）与拓扑量子场理论（TQFT）具有一对一的对应关系。到目前为止，已经进行了不同的识别，将不同的物理粒子类型（任何人）与不同的UMTC相关联。但是，Anyon模型转换的区域并未被发现太多，这与拓扑相变相对应。颗粒（准粒子）的物理凝结可以对应于不同UMTC之间的函子。本文讨论了一个缩短了一倍的特殊情况。我们还为双倍的半模型提供了误差检测和校正算法，该模型比先前建议的模型更有效。最后，我们提出了一些有关扭转基础晶格结构的结果，并看到其对UMTC和逻辑子空间的影响，例如，对于ISING，将半轴模型和这些组合的组合。这表明了一些有趣的“虫洞”现象。
Unitary Modular Tensor Categories(UMTC) have a one-to-one correspondence with Topological Quantum Field Theories (TQFT). Different identifications have been made so far associating different physical particle types (anyons) to different UMTCs. However, the area of anyon model transformations has not been discovered much, which correspond to topological phase transitions. Physical condensation of particles (quasi-particles) can correspond to functors between different UMTCs. This paper discusses a special case of doubled semion condensation. We also give an error detection and correction algorithm for the Doubled Semion model which is more efficient than the previously suggested ones. At last, we present some results about twisting the underlying lattice structure and see its effects on UMTCs and logical subspaces e.g., for Ising, Doubled Semion models, and a combination of these. This suggests some interesting "wormholes" phenomenon.
