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Provided they can be made on a large scale with low levels of noise, quantum computers offer impressive speedups over their classical counterparts. Such computations can be implemented using only single-site operations on continuous-variable cluster states -- highly entangled quantum states that can be generated on an unprecedented scale using quantum optics. In this talk, I will introduce highly compact methods for generating universal continuous-variable cluster states which possess a multi-layered graph structure. I will also describe new measurement protocols that leverage the nonstandard graph structure, allowing for more compact and flexible computations. The major bottleneck hindering the use of continuous-variable cluster states is the noise that arises from having limited squeezing resources. We discuss how to treat this noise as an effective amplitude-damping channel in the special case of implementing linear optics gates. Host: Yigit Subasi |