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

CQIS：RUI：通过局部和置换对称性实现的纠缠和应用

• 批准号: 1713868
• 负责人: David Lyons
• 金额: $ 17.5万
• 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: 2017
• 资助国家: 美国
• 起止时间: 2017-09-01 至 2020-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1713868&HistoricalAwards=false
• 关键词: CQIS; RUI; Entanglement; Applications; via

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.

利用量子力学系统来处理信息的前景有着惊人的应用前景。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测量设备。这些革命性技术的核心“量子优势”来自于利用纠缠和其他容易定义但难以分析的非局域特性。该项目将研究量子纠缠，以便为未来的量子计算机和量子通信网络设计有用的应用。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真实的研究来促进大学生的科学发展。该项目将实施一个系统框架，研究局域幺正和置换对称性，以探测多粒子量子纠缠，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。这些成果将为主流量子信息科学领域的新技术、理论成果和应用做出贡献。

项目成果

Finite-Function-Encoding Quantum States

• DOI: 10.22331/q-2022-05-09-708
• 发表时间: 2020-12
• 期刊: Quantum
• 影响因子: 6.4
• 作者: Paul Appel;Alexander J. Heilman;E. W. Wertz;David W. Lyons;M. Huber;Matej Pivoluska;G. Vitagliano