标题： 经典超材料中非阿贝尔编织的拓扑计算 显示英文标题

标题： Topological Computation by non-Abelian Braiding in Classical Metamaterials

摘要： 我们提出了一种在一维Kitaev拓扑超导体在经典机械超材料中的实现。 通过设计适当的编织协议，我们证明了系统的中间间隙振动模式，称为经典马约拉纳零模（MZMs），准确地再现了量子理论预测的编织统计特性。 将四个MZMs作为量子比特的经典模拟，我们通过编织实现了所有单量子比特Clifford门，从而在经典系统中实现了拓扑量子计算的模拟。 此外，我们通过展示系统对机械缺陷的鲁棒性，建立了系统的拓扑保护。 这项工作提供了一个新的框架，用于利用经典超材料探索拓扑量子计算，并为实现由拓扑保护的稳定振动系统提供了途径。 显示英文摘要

摘要： We propose a realization of the one-dimensional Kitaev topological superconductor in classical mechanical metamaterials. By designing appropriate braiding protocols, we demonstrate that the system's mid-gap vibrational modes, termed classical Majorana zero modes (MZMs), accurately reproduce the braiding statistics predicted by quantum theory. Encoding four MZMs as a classical analog of a qubit, we implement all single-qubit Clifford gates through braiding, enabling the simulation of topological quantum computation in a classical system. Furthermore, we establish the system's topological protection by demonstrating its robustness against mechanical defects. This work provides a novel framework for exploring topological quantum computation using classical metamaterials and offers a pathway to realizing stable vibrational systems protected by topology.