RUI: Structure and Local Equivalence of Stabilizers and States

RUI：稳定器和状态的结构和局部等价

• 批准号: 1211594
• 负责人: David Lyons
• 金额: $ 27.4万
• 依托单位: Lebanon Valley College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-09-01 至 2015-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1211594&HistoricalAwards=false
• 关键词: RUI; Structure; Local; Equivalence; Stabilizers

Many emerging quantum information technologies require access to some form of quantum entanglement in order to operate. Understanding what is needed and what is possible to achieve with these technologies is frustrated by the large number of types of multiparticle entanglement that could be produced. The role of multiparticle quantum entanglement as a resource and the proliferation of entanglement types with increasing particle numbers motivate a program of classification. A good classification scheme provides a framework for understanding properties of and relationships among quantum states, puts interesting states in a context, and introduces concepts that allow explanation and interpretation of new findings. The goals of this research are to produce such a classification scheme, and to use the resulting knowledge about the structure of quantum states in applications of interest in quantum computation, communication, and cryptography.This project will provide a framework and a language in which to articulate the needs and resources of quantum information processing tasks, and will therefore be of use to researchers trying to make these tasks a reality. A second broader impact of this project is direct influence on the scientific careers of promising young students. Undergraduates will participate as research assistants who will carry out computational experiments, write computer code to generate examples and test hypotheses, and prove special cases of broad conjectures. Engagement in research teaches the process of intellectual inquiry and discovery in a way that classroom work alone cannot achieve. This project will strengthen the research environment at Lebanon Valley College by supporting students in research activities including presentations at scientific meetings and publications in scientific journals.

许多新兴的量子信息技术需要某种形式的量子纠缠才能运行。由于可能产生大量类型的多粒子纠缠，理解这些技术需要什么以及可以实现什么是令人沮丧的。多粒子量子纠缠作为资源的作用以及纠缠类型随着粒子数量的增加而扩散，激发了分类计划。一个好的分类方案提供了一个框架来理解量子态的属性和之间的关系，将有趣的状态置于上下文中，并引入允许解释和解释新发现的概念。这项研究的目标是产生这样的分类方案，并在量子计算、通信和密码学等感兴趣的应用中使用由此产生的有关量子态结构的知识。该项目将提供一个框架和一种语言，用于阐明了量子信息处理任务的需求和资源，因此对试图使这些任务成为现实的研究人员有用。该项目的第二个更广泛的影响是对有前途的年轻学生的科学生涯的直接影响。本科生将作为研究助理参与，他们将进行计算实验，编写计算机代码来生成示例和测试假设，并证明广泛猜想的特殊情况。参与研究以一种仅靠课堂作业无法实现的方式教授智力探究和发现的过程。该项目将通过支持学生的研究活动（包括在科学会议上的演讲和在科学期刊上发表论文）来加强黎巴嫩谷学院的研究环境。