Quantum optical cluster states have been increasingly explored in the light of their importance for measurement-based quantum computing. Here we set forth a method for generating quantum controlled cluster states: pumping an optical parametric oscillator with spatially structured light. We show that state-of-the-art techniques for producing clusters in the spectral and temporal domains are improved by a structured light pump, which manipulates the spatial mode couplings in the parametric interaction. We illustrate the method considering a second-order pump structure and show that a simple mode rotation yields different cluster states, including but not limited to the two-dimensional square and hexagonal lattices. We also introduce a novel technique for generating nonuniform cluster states and propose a simple setup for its implementation.

中文翻译：

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量子控制的簇态

鉴于量子光学簇状态对基于测量的量子计算的重要性，人们越来越多地探索它们。在这里，我们提出了一种产生量子控制簇态的方法：用空间结构光泵浦光学参量振荡器。我们展示了在光谱和时间域中产生簇的最先进技术通过结构光泵得到改进，该泵操纵参数交互中的空间模式耦合。我们说明了考虑二阶泵结构的方法，并表明简单的模式旋转会产生不同的簇状态，包括但不限于二维方形和六边形晶格。我们还介绍了一种用于生成非均匀集群状态的新技术，并为其实现提出了一个简单的设置。