Operator algebras associated to product systems, and higher-rank-graph algebras

与产品系统相关的算子代数和高阶图代数

• 批准号: DP0557243
• 负责人: Prof Aidan Sims
• 金额: $ 15.85万
• 依托单位: University of Wollongong
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2005
• 资助国家: 澳大利亚
• 起止时间: 2005-04-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0557243
• 关键词: Operator; algebras; associated; product; systems

Operator algebras are used to study a wide range of physical systems in quantum physics and quantum computing, and in electrical engineering. The clearer our picture of how operator algebras work, the better we are able to predict and explain how these physical systems will behave. The proposed research project is aimed at showing that we can describe operator algebras in terms of simple coloured diagrams rather than abstract mathematical symbols. Consequently, the project will lead to a simpler and less technical approach to the physical problems which operator algebras are used to study.

算子代数用于研究量子物理和量子计算以及电气工程中的各种物理系统。我们对算子代数如何工作的了解越清楚，我们就越能够预测和解释这些物理系统的行为方式。拟议的研究项目旨在表明我们可以用简单的彩色图而不是抽象的数学符号来描述算子代数。因此，该项目将为使用算子代数研究的物理问题提供一种更简单且技术性较低的方法。