AI 中文总结
本文提出一种SLH网络的离散化方法,可将其在量子计算机上实现,基于量子随机微分方程离散化定理证明离散系统随网格缩小一致强收敛到连续SLH网络,为量子计算机实现量子反馈网络提供方案。
AI 中文摘要
量子反馈网络理论(俗称SLH框架)是量子光学中用于建模系统的强大工具。本文描述了一种对SLH网络进行离散化的方法,使其能够在量子计算机上实现。基于量子随机微分方程的离散化定理,我们证明了当离散化网格趋于零时,离散化系统在紧时间区间上一致强收敛到连续SLH网络。
英文摘要
Quantum Feedback Network Theory (also known colloquially as the SLH-framework) is a powerful tool for modeling systems in quantum optics. This paper describes a method for discretising SLH-networks such that they can be implemented on a quantum computer. Building on a discretisation theorem for quantum stochastic differential equations, we establish strong convergence, uniformly on compact time intervals, of the discretised system to the continuous SLH-network as the discretisation mesh goes to zero.
Comments32 pages, 1 figure, fixed typos, added reference, added section on the unbounded case