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

摘要：在量子信息处理过程中，需要一种容错实现，使其免受计算过程中出现的错误的影响。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。该项目的目标是展示这样一个计算平台，使用在某些半导体器件中预测的状态，实现一种称为分数量子霍尔效应的独特形式的量子现象，从而导致拓扑量子位。拓扑量子比特的成功开发有助于彻底改变量子计算领域，并产生某些类型的计算的显着速度，例如高效的数据库搜索和量子系统的模拟。该研究项目将有助于培养新一代学生的概念和技术的新兴前沿量子科学。技术摘要：拓扑量子计算是近年来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）是一种在低温和强磁场条件下实现的高质量半导体结构，是一种很有前途的拓扑量子比特实现模板。拓扑量子比特中的量子信息存储在非阿贝尔任意子中，这些非阿贝尔任意子已被预测为发生在5/2填充因子下的FQHE态。提出了基于5/2 FQHE态非阿贝尔任意子编织的拓扑量子比特论证。目标是推进低能量激发的检测和测量实验技术，这是这一新兴范式的核心。在由高迁移率GaAs/AlGaAs异质结构制成的电子法布里-珀罗干涉仪中，成功测量FQHE液体的任意电子激发的统计相位角，将为拓扑量子比特的演示奠定基础。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。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值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.