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.

最近和不久的将来的量子技术将突破信息处理的界限，在通信、计算和测量方面得到应用，该项目研究理论物理和数学中的潜在问题，使“量子优势”成为可能。新成果的一个主要项目组成部分是通过参与实际研究来促进本科生的科学发展。该项目将实施一个资源理论框架来研究可逆自由运算类，包括局部酉变换、子系统排列和匹配门（两个量子位算子）源于费米子物理学）探索多粒子量子纠缠和经典可模拟性，并开发量子协议的应用程序将利用李群和李代数的表示理论，以及 PI 过去的成果将贡献主流量子信息中的理论结果和应用。科学。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。