Phase-space methods for engineering discrete quantum and classical systems.

这个项目探讨了量子相空间方法在信号处理中的最新发展。维格纳函数长期以来一直被认为比其他时频方法（如加窗傅立叶变换）具有优势，因为它提供了最佳的时频分辨率。最近，在开发离散量子系统的替代方法方面取得了重大进展。这就提出了在量子信息处理机器中理解、可视化和设计量子态的新方法。此外，它还为分析经典信号、网络和电路开辟了新的范式。可能的应用包括优化网络拓扑和故障识别。

This project explores the application of recent developments in quantum phase space methods to signal processing. The Wigner function has long been known to have advantages over other time-frequency methods (such as the windowed Fourier Transform) as it provides an optimal time-frequency resolution. Recently there has been major progress in developing alternative methods for discrete quantum systems. This raises the possibility of new methods to understand, visualise and engineer quantum states in quantum information processing machines. Moreover it also opens up a new paradigm for analysing classical signals, networks and circuits. Possible applications include optimising network topologies and fault identification.