Universality of Z 3 parafermions via edge-mode interaction and quantum simulation of topological space evolution with Rydberg atoms
Universality of Z 3 parafermions via edge-mode interaction and quantum simulation of topological space evolution with Rydberg atoms
复制标题
通过边缘模式相互作用实现 Z 3 平费米子的普适性以及里德伯原子拓扑空间演化的量子模拟
DOI：
10.1103/physrevresearch.5.023076
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发表时间：
2023
影响因子：
4.2
通讯作者：
Benhemou A
中科院分区：
文献类型：
--
作者：
Benhemou A
准粒子是马约拉纳准粒子的推广，具有分数非阿贝尔统计量。它们可以用于对拓扑量值进行编码，并通过编织进行Clifford运算。在这里，我们研究了通过允许参量相互作用来实现普适性的量子门的产生。特别地，我们研究了通过对介子链中对介子边缘模式的直接短程相互作用而产生的非拓扑门的形式。我们证明了这种相互作用会在编码的地面空间上产生一个动态相位门，从而产生一个非Clifford门，该门可以被调整为属于Clifford层次的偶数层次。我们将演示如何使用这个动态门访问高度非上下文状态。最后，我们提出了一个用里德伯原子技术模拟拓扑态编织和动态演化的实验。
Parafermions aregeneralizations of Majorana quasiparticles, with fractional non-Abelian statistics. They can be used to encode topological qudits and perform Clifford operations by their braiding. Here we investigate the generation of quantum gates by allowingparafermions to interact in order to achieve universality. In particular, we study the form of the nontopological gate that arises through direct short-range interaction of the parafermion edge modes in aparafermion chain. We show that such an interaction gives rise to a dynamical phase gate on the encoded ground space, generating a non-Clifford gate which can be tuned to belong to even levels of the Clifford hierarchy. We illustrate how to access highly noncontextual states using this dynamical gate. Finally, we propose an experiment that simulates the braiding and dynamical evolutions of thetopological states with Rydberg atom technology.