论文标题
Anyon Braiding和Renoralization Group
Anyon braiding and the renormalization group
论文作者
论文摘要
编织操作定义了任何链条的真实空间重归其化组。所得的重归其化组流量可用于通过运算符 - 异端重新规范化来定义量子标度极限。它说明了它如何适用于Ising链，也称为横向场Ising模型。在这种情况下，量子缩放限制会导致著名ISIS CFT的真空状态。区分编织及其倒数与Ising CFT的手性部门直接相关。这对CFT在拓扑量子计算机上的仿真有直接影响。
A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit by operator-algebraic renormalization. It is illustrated how this works for the Ising chain, also known as transverse-field Ising model. In this case, the quantum scaling limit results in the vacuum state of the well-known Ising CFT. Distinguishing between the braiding and its inverse is directly related to the chiral sectors of the Ising CFT. This has direct implications for the simulation of CFTs on topological quantum computers.
