CQIS: RUI: Quantum Resources via Free Operation Symmetry

最近和不久的将来，量子技术将推动信息处理的边界，应用于通信、计算和测量。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。除了通过新的成果实现科学进步之外，一个主要的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。该项目将实现一个资源理论框架来研究可逆自由操作的类别，包括局部幺正变换、子系统置换和匹配门（由费米子物理产生的双量子位算子），以探测多粒子量子纠缠和经典可模拟性，并开发量子协议的应用。方法将利用李群和李代数的表示理论，以及PI过去的结果。这些成果将为主流量子信息科学的理论成果和应用做出贡献。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。

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.