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EAGER: BRAIDING: Multi-terminal Josephson circuits supporting nontrivial Chern topologies for anyonic qubits

EAGER：编织：多终端约瑟夫森电路支持任意子量子位的非平凡陈氏拓扑

基本信息

批准号：
1836710
负责人：
Alexey Bezryadin
金额：
$ 15万
依托单位：
University of Illinois at Urbana-Champaign
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-07-15 至 2020-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1836710&HistoricalAwards=false
关键词：
EAGER BRAIDING Multi terminal Josephson

项目摘要

Nontechnical Abstract: This research project aims to exploit the physical laws of quantum mechanics to create a new tool for superfast information processing, known as quantum computation. Researchers will encode information in identical subatomic particles, known as non-Abelian particles, which can "remember" the history of their mutual positions and how they have exchanged positions. Practical quantum information processing hardware is expected to allow the encoded information to be read out and will provide transformative advances in several areas, including the design of new, functional materials and complex, multi-dimensional information-processing operations. The quantum materials and devices to be developed in this project are important for enabling very precise measurements in science and technology. Furthermore, the project has important implications for fundamental science; for example, cosmological models of the Universe could be mimicked using these new methods of quantum information processing. Under this project, students will receive extensive training in advanced scientific methods, materials science and nanotechnology and, also, in applying scientific methods for critical thinking and problem solving. Technical Abstract: This work focuses on demonstrating the superior potential of multi-terminal superconducting Josephson circuits and qubits as a braiding platform for non-Abelian particles and as emulators of novel higher-dimensional topological states and their possible use in applications for topologically protected computing. The vortices are created in two-dimensional arrays of superconducting nano-islands placed on a topological insulator. Such vortices are predicted to carry non-Abelian Majorana zero modes. The studied qubit device is a cross-current meissneron transmon qubit, which is able to supply a circularly polarized supercurrent allowing circular braiding trajectories of vortex-antivortex pairs. In this project, a quantum-superposition Lorentz force is generated by means of the two qubits coupled to a multi-terminal superconducting junction having the array of superconducting nano-islands. The goal is to achieve a superposition of two-dimensional braiding trajectories in order to store quantum information. At the first stage, a two-dimensional multi-terminal superconducting proximity junction, decorated with an array of superconducting nano-islands, is being used to stabilize and permit two-dimensional translocation of vortices and antivortices. The parity of the Majorana states affects the qubit excitation energy and thus can be measured by qubit spectroscopy. Combining vortices and antivortices serves the purpose of simplifying braiding algorithms, because the Lorentz force acting on antivortices under a given supercurrent is opposite to the Lorentz force acting on vortices. The two-dimensional nature of the proximity arrays, serving as nonlinear inductors in transmon qubits, is the key factor allowing vortices and antivortices to be present simultaneously in the junction and to move around each other to achieve braiding operations.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.

非技术摘要：该研究项目旨在利用量子力学的物理定律来创建一种用于超高速信息处理的新工具，称为量子计算。研究人员将在相同的亚原子粒子中编码信息，称为非阿贝尔粒子，这些粒子可以“记住”它们相互位置的历史以及它们如何交换位置。实用的量子信息处理硬件预计将允许读出编码信息，并将在多个领域提供变革性进展，包括设计新的功能材料和复杂的多维信息处理操作。该项目中开发的量子材料和设备对于实现科学和技术中的非常精确的测量非常重要。此外，该项目对基础科学具有重要意义;例如，可以使用这些新的量子信息处理方法来模拟宇宙的宇宙学模型。在该项目下，学生将接受先进科学方法，材料科学和纳米技术的广泛培训，并将科学方法应用于批判性思维和解决问题。技术摘要：这项工作的重点是证明上级潜力的多终端超导约瑟夫森电路和量子位作为编织平台的非阿贝尔粒子和作为仿真器的新的高维拓扑状态和它们可能的用途在应用中的拓扑保护计算。涡旋是在放置在拓扑绝缘体上的超导纳米岛的二维阵列中产生的。这样的涡预测进行非阿贝尔马约拉纳零模式。所研究的量子比特器件是一个交叉流迈斯纳子transmon量子比特，它能够提供一个圆极化的超电流，允许涡旋-反涡旋对的圆编织轨迹。在这个项目中，一个量子叠加洛伦兹力是通过耦合到一个具有超导纳米岛阵列的多端超导结的两个量子比特产生的。目标是实现二维编织轨迹的叠加，以存储量子信息。在第一阶段，一个二维的多终端超导邻近结，装饰有超导纳米岛阵列，被用来稳定和允许二维易位的涡旋和反涡旋。马约拉纳态的宇称会影响量子比特的激发能量，因此可以通过量子比特光谱学来测量。将涡旋和反涡旋结合起来可以简化编织算法，因为在给定的超电流下作用在反涡旋上的洛伦兹力与作用在涡旋上的洛伦兹力相反。邻近阵列的二维性质，作为transmon量子比特中的非线性电感器，是使涡旋和反涡旋同时出现在结中并相互移动以实现编织操作的关键因素。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。