RUI: Entanglement Classification via Stabilizers and Subsystem States

许多新兴的量子信息技术需要获得某种形式的量子纠缠才能运行。由于可能产生大量的多粒子纠缠，理解这些技术需要什么以及可能实现什么是令人沮丧的。多粒子量子纠缠作为一种资源的作用，以及随着粒子数量的增加而出现的纠缠类型的激增，促使了分类程序的提出。一个好的分类方案为理解量子态的性质和相互之间的关系提供了一个框架，将感兴趣的态放在一个上下文中，并引入了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一个分类方案。这个项目将提供一个框架和语言，用来阐明量子信息处理任务的需求和资源，因此将对试图使这些任务成为现实的研究人员有用。这个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加，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，并证明广义猜想的特殊情况。参与研究以一种单靠课堂工作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开展研究活动，包括在科学会议上作报告和在科学期刊上发表文章，加强黎巴嫩山谷学院的研究环境。

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 goal of this research is to produce such a classification scheme.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.