论文标题

超导拓扑表面状态和容忍断层量子计算的拓扑超导体

Topological superconductor from superconducting topological surface states and fault-tolerant quantum computing

论文作者

Luo, Xi, Chen, Yu-Ge, Wang, Ziqiang, Yu, Yue

论文摘要

手性$ p $ - 波超导体/超导型二维(2D)是拓扑量子计算的最简单,最强大的系统。这种自然界中这种拓扑超导体/超流体的候选者非常罕见。人们普遍认为的手性$ p $ - 波超流体是$ν= \ frac {5} 2 $分数量子厅效应的摩尔阅读状态,尽管实验证据尚未结论。手性$ p $ - 使用量子异常的霍尔绝缘体 - 渗透杂种结构的实验实现是有争议的。在这里,我们报告了一种新的机制,可以在3D $ S $ - 波超导体表面上实现2D手性$ p $ - 波超导体,这些超导体具有拓扑结构结构并支持超导超导拓扑表面状态(SC-TSS),例如铁基超导体FE(TE,SE,SE,SE)。我们发现,在薄膜的顶部和底部表面的SC-TS之间或两个这样的超导体的两个相对表面之间的隧道和配对可以产生出现的2d时间反转对称性破坏手性拓扑超导体。具有Majorana零模式以及手性Majoraana fermion Edge模式的拓扑保护的任何旋转涡流可以用作更有利的非亚洲编织操作的平台。我们为CNOT门提出了一种新型设备,该设备具有六个手性的Majorana Fermion Edge模式,该模式为耐故障的通用量子计算铺平了道路。

The chiral $p$-wave superconductor/superfluid in two dimensions (2D) is the simplest and most robust system for topological quantum computation . Candidates for such topological superconductors/superfluids in nature are very rare. A widely believed chiral $p$-wave superfluid is the Moore-Read state in the $ν=\frac{5}2$ fractional quantum Hall effect, although experimental evidence are not yet conclusive. Experimental realizations of chiral $p$-wave superconductors using quantum anomalous Hall insulator-superconductor hybrid structures have been controversial. Here we report a new mechanism for realizing 2D chiral $p$-wave superconductors on the surface of 3D $s$-wave superconductors that have a topological band structure and support superconducting topological surface states (SC-TSS), such as the iron-based superconductor Fe(Te,Se). We find that tunneling and pairing between the SC-TSS on the top and bottom surfaces in a thin film or between two opposing surfaces of two such superconductors can produce an emergent 2D time-reversal symmetry breaking chiral topological superconductor. The topologically protected anyonic vortices with Majorana zero modes as well as the chiral Majorana fermion edge modes can be used as a platform for more advantageous non-abelian braiding operations. We propose a novel device for the CNOT gate with six chiral Majorana fermion edge modes, which paves the way for fault-tolerant universal quantum computing.

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