Quantum Entanglement and Separability

量子纠缠和可分离性

• 批准号: 0309042
• 负责人: Arthur Pittenger
• 金额: --
• 依托单位: University of Maryland Baltimore County
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-06-15 至 2006-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0309042&HistoricalAwards=false
• 关键词: Quantum; Entanglement; Separability

This research is set in the context of mathematical models related to the quantum mechanical foundations of quantum computing and quantum information theory. The project focuses on the quantification and characterization of entanglement, the key property distinguishing the quantum mechanical model of computation from the classical model. The major theme of the research is to exploit the inherent geometry of the model in order to classify and quantify different kinds of entanglement, to provide criteria for the detection of entangled quantum states, and to motivate and refine new mathematical techniques for the study of quantum information theory.Continued reduction of the size of components in computers necessarily leads to a consideration of quantum mechanical effects and, potentially, to the development of a computer that can solve problems inaccessible to current technology. An important aspect of developing the required technology is the detection and measurement of putatively entangled states in the laboratory. A key goal of this project is to relate the mathematical theory directly to the design of laboratory protocols for the detection of such entanglement. In addition, greater insight into the nature of entanglement will suggest both new experiments and different approaches to issues of quantum computation and quantum communication.

这项研究是在与量子计算和量子信息论的量子力学基础相关的数学模型的背景下进行的。 该项目的重点是纠缠的量化和表征，这是区分量子力学计算模型与经典模型的关键属性。 该研究的主要主题是利用模型的固有几何形状来对不同类型的纠缠进行分类和量化，为检测纠缠量子态提供标准，并激发和完善用于量子信息论研究的新数学技术。计算机中组件尺寸的不断减小必然会导致对量子力学效应的考虑，并有可能导致计算机的发展 可以解决现有技术无法解决的问题。 开发所需技术的一个重要方面是在实验室中检测和测量假定的纠缠态。 该项目的一个关键目标是将数学理论直接与检测这种纠缠的实验室协议的设计联系起来。 此外，对纠缠本质的更深入了解将提出新的实验和解决量子计算和量子通信问题的不同方法。