CAREER: Design and Analysis of Low-Overhead Fault-Tolerant Quantum Circuits

职业：低开销容错量子电路的设计和分析

• 批准号: 2237356
• 负责人: Milad Marvian
• 金额: $ 57.89万
• 依托单位: University of New Mexico
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-03-01 至 2028-02-29
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2237356&HistoricalAwards=false
• 关键词: CAREER; Design; Analysis; Low; Overhead

Quantum computers have the potential to revolutionize the paradigm of computing by offering a substantial advantage compared to classical computers for certain high-impact computational tasks. The main obstacle to unleashing the full power of quantum computers is their extreme susceptibility to noise and decoherence. Despite the significant progress in designing fault-tolerant protocols over the last two decades, the fundamental limits of the permissible noise on quantum devices and the required overhead to correct the errors are not fully understood. This project aims to develop mathematical frameworks to design and analyze low-overhead fault-tolerant quantum computing schemes. In addition, the project also explores the minimum requirements for reliable quantum computation. The multidisciplinary nature of the research provides a unique educational environment for both graduate and undergraduate students who will be trained and mentored during this project.The goal of this project is to develop mathematical models to describe error propagation in quantum circuits and use them to construct resource-efficient computing subroutines. The approach will enable the application of classical data compression and error correction codes in designing low-overhead reliable quantum computers. The developed framework will be used to understand the minimum resources required for reliable computation and to discover resource-efficient protocols by directly incorporating the hardware constraints of quantum processors. The systematic approach will provide an opportunity to perform computer-assisted search to find optimized constructions. The applications of the developed procedures to protect key fault-tolerant quantum operations such as code-switching will be investigated. The successful completion of this effort will make progress in lowering the hardware requirements to build reliable quantum processors capable of accurate large-scale quantum computation.This project is jointly funded by the Foundations of Emerging Technologies core research program in the Computing and Communication Foundations Division and the Established Program to Stimulate Competitive Research (EPSCoR).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.

与经典计算机相比，对于某些高影响力计算任务而言，量子计算机有可能通过提供实质性优势来彻底改变计算的范例。释放量子计算机的全部功能的主要障碍是它们对噪声和反谐波的极端敏感性。尽管在过去的二十年中设计易于故障的方案方面取得了重大进展，但尚未完全了解量子设备上允许的噪声的基本限制以及纠正误差所需的开销。该项目旨在开发数学框架，以设计和分析低空易于故障的量子计算方案。此外，该项目还探讨了可靠量子计算的最低要求。这项研究的多学科性质为研究生和本科生提供了独特的教育环境，他们将在该项目中接受培训和指导。该项目的目的是开发数学模型来描述量子电路中的错误传播，并利用它们来构建资源效率计算的计算值。该方法将使经典数据压缩和误差校正代码在设计低空可靠的量子计算机中的应用。开发的框架将用于了解可靠计算所需的最低资源，并通过直接合并量子处理器的硬件约束来发现资源有效的协议。系统的方法将为执行计算机辅助搜索以找到优化的构造提供机会。将研究开发程序保护关键的耐故障量子操作（例如代码切换）的应用。成功完成这项工作将取得进步，以降低硬件要求，以建立能够准确的大规模量子计算的可靠量子处理器。该项目由在计算和通信基础部门的新兴技术核心研究计划的基础共同资助，并通过启发竞争性的奖项（EPSCOR）进行了反映的奖项，并促进了竞争性的奖励，并以此为基础。优点和更广泛的影响审查标准。