CAREER: A Methodology for Control of Finite Dimensional Quantum Mechanical Systems

职业：有限维量子机械系统的控制方法

• 批准号: 0237925
• 负责人: Domenico D'Alessandro
• 金额: $ 40万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-03-15 至 2009-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0237925&HistoricalAwards=false
• 关键词: CAREER; Methodology; Control; Finite; Dimensional

In the past decade, exciting new mathematics and resulting putative experiments have been proposed that involve quantum mechanics in an essential manner. A recent technological advance is the development of laser and pulse shaping techniques. These techniques make it possible to control processes at the atomic level, where the dynamics evolve according to the laws of quantum mechanics.The main objective of this project is a general methodology for the control of quantum mechanical system. The theory developed will have significant impact on promising applications of quantum mechanics. For example, it will render possible the implementation of quantum information processing for efficient computation and communication, it will shape chemical reactions in order to achieve a desired outcome and it will aid the storage and retrieval of information in memories that approach the molecular size. Apart from control theoretic aspects, this investigation will shed light on aspects of the quantum theory that are still not fully understood. These include the nature of the entanglement with other quantum systems and with the environment, the characterization of quantum versus classical dynamics and the limits and power of quantum computation.

在过去的十年里，令人兴奋的新数学和由此产生的假定实验已经被提出，这些实验以一种基本的方式涉及量子力学。最近的技术进步是激光和脉冲整形技术的发展。这些技术使得在原子水平上控制过程成为可能，在原子水平上，动力学根据量子力学定律进化。本课题的主要目标是为量子力学系统的控制提供一种通用的方法。该理论的发展将对量子力学的前景应用产生重大影响。例如，它将使量子信息处理的实现成为可能，以实现高效的计算和通信，它将形成化学反应，以达到预期的结果，它将有助于存储和检索接近分子大小的记忆中的信息。除了控制理论方面，这项研究还将揭示量子理论中尚未完全理解的方面。这些包括与其他量子系统和环境的纠缠的性质，量子与经典动力学的表征以及量子计算的限制和能力。