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.

这个研究项目关注的是在描述噪声量子系统时出现的数学问题。 一些工作解决了纠缠何时可以增强嘈杂量子信道的容量的问题。 这包括长期的工作和有关运营商空间的相关问题。 该项目还研究了量子纠错的各个方面，超出了熟悉的稳定器代码。 最后，这项工作解决了绝热量子计算中出现的几个数学问题，并可能揭示绝热量子优化是否可以在多项式时间内解决难题的争议问题。brbr物理学家在证明量子系统可用于密码学、通信和计算的新方法方面取得了相当大的进展。 进一步开发高效、实用的量子通信系统需要类似于经典通信理论中关于信道容量和纠错的基本工作的理论研究。 该项目研究了几个与量子信息处理的实际实现直接相关的数学问题。