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，在通信，计算和测量中的应用。该项目研究理论物理和数学中使“量子优势”成为可能的潜在问题。除了通过新成果实现科学进步外，一个主要的项目组成部分是通过参与真实的研究来培养本科生的科学发展。这个项目将实施一个资源理论框架来研究可逆自由运算的类，包括局部酉变换，子系统的排列，和匹配门（从费米子物理学中产生的两个量子比特算子），以探测多粒子量子纠缠和经典模拟性，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，连同PI的过去的结果。该奖项反映了NSF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.