CQIS: RUI: Quantum Resources via Free Operation Symmetry

CQIS：RUI：通过自由操作对称的量子资源

• 批准号: 2309157
• 负责人: David Lyons
• 金额: $ 24万
• 依托单位: Lebanon Valley College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-09-01 至 2026-08-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2309157&HistoricalAwards=false
• 关键词: CQIS; RUI; Quantum; Resources; via

Recent and near-future quantum technologies will push the boundaries of information processing, with applications in communication, computation, and measurement. This project studies underlying problems in theoretical physics and mathematics that make “quantum advantage” possible. In addition to achieving scientific progress through new results, a major project component is scientific development of undergraduate students through participation in real research.This project will implement a resource theory framework to study classes of invertible free operations including local unitary transformations, permutations of subsystems, and matchgates (two-qubit operators arising from fermionic physics) to probe multiparticle quantum entanglement and classical simulatability, and to develop applications for quantum protocols. Methodology will utilize representation theory of Lie groups and Lie algebras, together with the PI’s past results. Achievements will contribute theoretical results and applications in mainstream Quantum Information Science.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.

最近和近乎未来的量子技术将在通信，计算和测量中应用信息处理的界限。该项目研究了使“量子优势”成为可能的理论物理和数学中的潜在问题。除了通过新的结果实现科学进步外，主要项目组成部分是通过参与实际研究的科学发展。本项目将实施一个资源理论框架，以研究可逆的自由操作类别的类别量子协议。方法论将利用谎言群体的代表理论，并使用代数，以及PI的过去结果。成就将在主流量子信息科学中取得理论结果和应用。该奖项反映了NSF的法定任务，并使用基金会的知识分子优点和更广泛的影响标准，被视为通过评估来获得宝贵的支持。