论文标题

3-fermion拓扑量子计算

3-Fermion topological quantum computation

论文作者

Roberts, Sam, Williamson, Dominic J.

论文摘要

我们提出了一种基于克利福德(Clifford)的完整编织和对称缺陷的融合的前提量子计算方案,在3- ferimion Anyon理论中,补充了魔术状态注入。我们使用沃克(Walker)的基础状态对晶格进行了基于易耐断层测量的实现 - 3-弗里米亚的wang模型Anyon理论具有对称性缺陷。我们引入的Walker - 基于Wang测量的拓扑量子计算范式提供了具有热稳定对称性保护拓扑秩序的计算资源状态的一般结构。我们还展示了3-弗里尔术理论的对称缺陷如何在2D子系统代码中因轰炸而实现 - 通过代码变形与3-弗里米昂缺陷计算方案的替代实现进行了联系。

We present a scheme for universal topological quantum computation based on Clifford complete braiding and fusion of symmetry defects in the 3-Fermion anyon theory, supplemented with magic state injection. We formulate a fault-tolerant measurement-based realisation of this computational scheme on the lattice using ground states of the Walker--Wang model for the 3-Fermion anyon theory with symmetry defects. The Walker--Wang measurement-based topological quantum computation paradigm that we introduce provides a general construction of computational resource states with thermally stable symmetry-protected topological order. We also demonstrate how symmetry defects of the 3-Fermion anyon theory can be realized in a 2D subsystem code due to Bombín -- making contact with an alternative implementation of the 3-Fermion defect computation scheme via code deformations.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源