论文标题
辫子,运动和拓扑量子计算
Braids, Motions and Topological Quantum Computing
论文作者
论文摘要
量子计算的拓扑模型是基于物质拓扑阶段的任何人的固有耐断层模型。辫子组扮演着关键角色,在这项调查中,我们着重于辫子数学研究对理论至关重要的一种选择。我们还提供一些简短的历史背景,强调编织在物理环境中出现的方式。 我们还简要讨论了编织的三维概括:结的运动。
The topological model for quantum computation is an inherently fault-tolerant model built on anyons in topological phases of matter. A key role is played by the braid group, and in this survey we focus on a selection of ways that the mathematical study of braids is crucial for the theory. We provide some brief historical context as well, emphasizing ways that braiding appears in physical contexts. We also briefly discuss the 3-dimensional generalization of braiding: motions of knots.