论文标题
利用准晶体的任何人行为进行拓扑量子计算
Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
论文作者
论文摘要
我们表明，准晶体表现出可用于拓扑量子计算的任何人行为。特别是，我们研究了最简单的非亚伯利亚人，斐波那契安尼奥斯的融合式希尔伯特空间与一类准晶体的平铺空间之间的对应关系，其中包括一维纤维纤维链链和二维的penrose薄片。还讨论了在拓扑量子信息处理的平铺空间上的可能编码。
We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces of the simplest non-abelian anyon, the Fibonacci anyons, and the tiling spaces of a class of quasicrystals, which includes the one dimensional Fibonacci chain and the two dimensional Penrose tiling. A possible encoding on tiling spaces of topological quantum information processing is also discussed.
