Experimental demonstration of a versatile and scalable scheme for iterative generation of non-Gaussian states of light

Non-Gaussian states of light, such as GKP states, are essential resources for optical continuous-variable quantum computing. The ability to efficiently produce these states would open up tremendous prospects for quantum technologies in general and fault-tolerant quantum computing in particular. This letter demonstrates a versatile method using a quantum memory cavity to overcome the probabilistic nature of the breeding protocols and generate non-Gaussian states at high rates with scalability perspectives. The performances of our experimental setup are illustrated with the generation of Schr\"odinger cat states of amplitude alpha = 1.63 with a fidelity of more than 60% at a generation rate in the kHz range, which is higher than the state of the art for such states.