Unifying discrete and continuous methods in quantum information theory

该项目旨在通过统一离散和连续量子系统在数学模型中的表示方式来解决量子信息理论中的一个关键缺口。该项目希望通过使用尖端的数学工具和信号处理理论的见解来产生量子信息科学的新知识。该项目的预期成果包括一个用于量子科学和技术发展的新数学框架。这应该会带来显著的好处，比如在普通计算机上高效模拟某些量子过程的新方法，以及处理量子计算机中噪声的新方法。

This project aims to address a critical gap in quantum information theory by unifying the way that both discrete and continuous quantum systems are represented in mathematical models. This project expects to generate new knowledge in quantum information science by using cutting-edge mathematical tools and insights from signal processing theory. Expected outcomes of this project include a new mathematical framework for use in quantum science and technology development. This should provide significant benefits, such as new ways to efficiently simulate certain quantum processes on ordinary computers and novel approaches to handling noise in quantum computers.