Universal quantum computation with metaplectic anyons
Universal quantum computation with metaplectic anyons
复制标题
超变任意子的通用量子计算
DOI：
10.1063/1.4914941
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发表时间：
2014
影响因子：
1.3
通讯作者：
Zhenghan Wang
中科院分区：
文献类型：
--
作者：
Shawn X. Cui;Zhenghan Wang
我们表明，在（3）2 = su（2）4中的元容器的编织物，其总电荷等于补充了两个Metaplectic Anyons的总电荷的投影测量值猜想可以为所有元容器的Anyon系统构建类似的通用任何一个计算模型，因此（p）2对于任何奇数primep≥5。为了证明普遍性，我们在概念上找到了新的概念Qutrits和Qupits的通用通用门集。
We show that braidings of the metaplectic anyons Xϵ in SO(3)2 = SU(2)4 with their total charge equal to the metaplectic mode Y supplemented with projective measurements of the total charge of two metaplectic anyons are universal for quantum computation. We conjecture that similar universal anyonic computing models can be constructed for all metaplectic anyon systems SO(p)2 for any odd prime p ≥ 5. In order to prove universality, we find new conceptually appealing universal gate sets for qutrits and qupits.