Mathematical aspects of quantum entanglement theory

量子纠缠理论的数学方面

• 批准号: RGPIN-2016-04003
• 负责人: Johnston, Nathaniel
• 金额: $ 1.58万
• 依托单位: Mount Allison University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=633054
• 关键词: Mathematical; aspects; quantum; entanglement; theory

In quantum information theory, one of the most useful resources is called "entanglement": the ability for particles to be correlated with each other in much stronger ways than those possible in classical mechanics. Entanglement is arguably the main ingredient in most interesting quantum algorithms and protocols, such as quantum teleportation and Shor's factoring algorithm, but many questions remain about its mathematical properties. The proposed program of research aims to answer two of these questions.

在量子信息理论中，最有用的资源之一被称为“纠缠”：粒子以比经典力学更强的方式相互关联的能力。纠缠可以说是大多数有趣的量子算法和协议的主要成分，例如量子隐形传态和Shor的因子分解算法，但关于它的数学性质仍然存在许多问题。研究计划旨在回答其中两个问题。