EAGER: BRAIDING: Demonstration of Topological Qubits Using Non-Abelian Anyons in the Fractional Quantum Hall Effect

非技术摘要：存在对量子信息处理的容错实现的需求，该实现不受计算过程中发生的错误的影响。这样的信息处理器可以使用拓扑材料作为计算平台来构建。这个项目的目标是使用在某些半导体设备中预测的状态来演示这样一个计算平台，这种状态实现了一种称为分数量子霍尔效应的独特形式的量子现象，导致了拓扑量子比特。拓扑量子比特的成功开发可以帮助量子计算领域发生革命性的变化，并大大加快某些类型的计算，如高效的数据库搜索和量子系统的模拟。该研究项目将帮助培训新一代学生，了解量子科学新兴前沿的概念和技术。技术摘要：拓扑量子计算是近年来在凝聚态物理研究中出现的一种潜在的使能技术。分数量子霍尔效应(FQHE)是在低温强磁场下在高质量半导体结构中实现的，是实现量子比特拓扑的一种很有前途的模板。拓扑量子比特中的量子信息存储在非阿贝尔任意子中，对于填充因子为5/2的FQHE态，已经预测了非阿贝尔任意子。提出了基于5/2 FQHE态的非阿贝尔任意子编织的拓扑量子比特的证明。目标是推进探测和测量低能激发的实验技术，这是这一新兴范式的核心。用高迁移率异质结制作的电子法布里-珀罗涉仪成功地测量了FQHE液体任意子激发的统计相角，为拓扑量子比特的演示奠定了基础。逻辑门的成功演示将在这些系统中建立受保护的拓扑量子比特。这一裁决反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Nontechnical Abstract: There is a demand for a fault-tolerant implementation of quantum information processing that is immune from mistakes that occur during the course of computation. Such an information processor may be built using topological materials as a computing platform. The goal of this project is to demonstrate such a computing platform using states that have been predicted in certain semiconductor devices that realize a unique form of a quantum phenomenon called fractional quantum Hall effect, leading to topological qubit. A successful development of topological qubit can help revolutionize the field of quantum computation and produce a significant speed up of certain types of computations such as an efficient database search and simulation of quantum systems. The research project will help train a new generation of students on the concepts and techniques of an emerging frontier of quantum science. Technical abstract: Topological quantum computing is a potentially enabling technology that has emerged from study of condensed matter physics in recent years. The fractional quantum Hall effect (FQHE), realized in high quality semiconductor structures at low temperatures and high magnetic fields, is a promising template for realization of topological qubit. Quantum information in a topological qubit is stored in non-Abelian anyons which have been predicted for the FQHE states that occurs at 5/2 filling factor. Demonstration of topological qubits based on braiding of non-Abelian anyons of the 5/2 FQHE state is proposed. The goal is to advance the experimental techniques for detection and measurement of low energy excitations that lies at the heart of this emerging paradigm. A successful measurement of the statistical phase angle of anyonic excitations of the FQHE liquids in electronic Fabry-Perot interferometers fabricated from high mobility GaAs/AlGaAs heterostructures will set the stage for the demonstration of topological qubit. A successful demonstration of the logical gates will establish the protected topological qubit in these systems.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.