摘要
In this work, we extend the concept of quasi-probability simulation to the continuous variable system to generate the complex non-Gaussian state from a state that is relatively easy to prepare. When only coherent states are available, we show an example of generating a Fock state with a small error and finite sampling overhead. Furthermore, we showed that the cat states are already sufficient for us to generate a large class of pure non-Gaussian states. Finally, we provide a general upper bound for the sampling and use it to construct an approximated Gottesman-Kitaev-Preskill state, where the superposition of two Gaussian states is available.