Quantum Information Theory

量子信息论

• 批准号: 0604900
• 负责人: Mary Beth Ruskai
• 金额: $ 10.2万
• 依托单位: Tufts University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-07-01 至 2011-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0604900&HistoricalAwards=false
• 关键词: Quantum; Information; Theory

This research project is concerned with mathematical problems that arise in the description of noisy quantum systems. Some of the work addresses the question of when entanglement can enhance the capacity of a noisy quantum channel. This includes work on longstanding conjectures and related questions about operator spaces. The project also investigates aspects of quantum error correction beyond the familiar stabilizer codes. Finally, the work addresses several mathematical questions that arise in adiabatic quantum computation and may shed light on the controversial issue of whether or not adiabatic quantum optimization can solve hard problems in polynomial time.brbrPhysicists have made considerable progress in demonstrating that quantum systems can be used for new methods of cryptography, communication, and computation. Further development of efficient, practical quantum communication systems requires theoretical investigations analogous to the fundamental work in classical communication theory on channel capacity and error correction. This project investigates several such mathematical issues directly connected to the practical implementation of quantum information processing.

该研究项目涉及嘈杂量子系统描述中出现的数学问题。 一些工作解决了何时纠缠可以增强嘈杂量子通道的能力的问题。 这包括关于长期猜想的工作以及有关操作员空间的相关问题。 该项目还研究了量子误差校正的各个方面，超出了熟悉的稳定器代码。 最后，这项工作解决了在绝热量子计算中出现的几个数学问题，并可能阐明了有争议的问题，即在多项式时间内是否可以解决绝热量子优化的问题。Brbrbrbrphysists在证明量子系统可以用于新的Cryptography，通信，通信，和计算方法方面取得了长足的进步。 进一步开发有效的实用量子通信系统需要类似于渠道容量和误差校正的古典通信理论基本工作的理论研究。 该项目研究了与量子信息处理的实际实施直接相关的几个此类数学问题。