Demonstration of Topological Robustness of Anyonic Braiding Statistics with a Superconducting Quantum Circuit
Demonstration of Topological Robustness of Anyonic Braiding Statistics with a Superconducting Quantum Circuit
复制标题
用超导量子电路演示任意子编织统计的拓扑鲁棒性
DOI：
10.1103/physrevlett.121.030502
复制
发表时间：
2018
影响因子：
8.6
通讯作者：
Pan Jian-Wei
中科院分区：
文献类型：
--
作者：
Song Chao;Xu Da;Zhang Pengfei;Wang Jianwen;Guo Qiujiang;Liu Wuxin;Xu Kai;Deng Hui;Huang Keqiang;Zheng Dongning;Zheng Shi-Biao;Wang H.;Zhu Xiaobo;Lu Chao-Yang;Pan Jian-Wei
任意子是二维的准粒子，其拓扑性质被认为对局部扰动具有鲁棒性，并可能为容错量子计算带来希望。在这里，我们提出了一个实验，证明与超导量子电路，这代表了一个7量子比特版本的复曲面代码模型的任意子编织统计的路径独立的性质。我们动态地创建模型的基态，实现了量子态层析成像验证的状态保真度。任意子激发和编织操作随后用单量子比特旋转来实现。编织的鲁棒性是通过沿着沿着两条不同但拓扑等价的路径将一个任意子激励围绕另一个任意子激励循环来证明的：两者都揭示了非平凡相移，这是阿贝尔任意子的标志，在拉姆齐型干涉测量中具有相位精度。
Anyons are quasiparticles occurring in two dimensions, whose topological properties are believed to be robust against local perturbations and may hold promise for fault tolerant quantum computing. Here we present an experiment of demonstrating the path independent nature of anyonic braiding statistics with a superconducting quantum circuit, which represents a 7-qubit version of the toric code model. We dynamically create the ground state of the model, achieving a state fidelity ofas verified by quantum state tomography. Anyonic excitations and braiding operations are subsequently implemented with single-qubit rotations. The braiding robustness is witnessed by looping an anyonic excitation around another one along two distinct, but topologically equivalent paths: Both reveal the nontrivial-phase shift, the hallmark of Abeliananyons, with a phase accuracy ofin the Ramsey-type interference measurement.