CQIS: RUI: Entanglement and Applications via Local and Permutational Symmetry

利用量子力学系统处理信息的前景有望实现壮观的应用。这些包括具有全新安全级别的加密通信，性能将超过现有超级计算机的计算机器，以及将探测新物理领域的改进的测量设备。这些革命性技术的核心是利用纠缠和其他容易定义但很难分析的非局域特性。这个项目将研究量子纠缠，以便为量子计算机和量子通信网络的未来设计有用的应用程序。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实际研究来促进本科生的科学发展。该项目将实施一个研究局部么正对称性和置换对称性的系统框架，以探索多粒子量子纠缠，并开发量子协议的应用。方法论将利用李群和李代数的理论，包括表示理论和Schur-Weyl对偶。这些成果将在主流量子信息科学领域贡献新的技术、理论成果和应用。

The prospect of harnessing quantum mechanical systems to process information promises spectacular applications. These include encrypted communication with fundamentally new levels of security, computing machines that will outperform existing supercomputers, and improved measurement devices that will probe new physical realms. The "quantum advantage" at the heart of these revolutionary technologies arises from exploiting entanglement and other nonlocal properties that are easy to define but difficult to analyze. This project will study quantum entanglement in order to design useful applications for a future with quantum computers and quantum communication networks. 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 systematic framework studying local unitary and permutational symmetries to probe multiparticle quantum entanglement and to develop applications for quantum protocols. Methodology will utilize the theory of Lie groups and Lie algebras, including representation theory and Schur-Weyl duality. Achievements will contribute novel techniques, theoretical results, and applications in areas of mainstream Quantum Information Science.