We investigate the application of the quantum Zeno effect (QZE) for the preparation of non-Gaussian states in optomechanical systems. By frequently monitoring the system, the QZE can suppress transitions away from desired subspaces of states. We show that this enables the preparation of states in qubit subspaces even in the presence of noise and decoherence. Through analytical and numerical analysis, we demonstrate that QZE-based protocols can achieve robust state preparation of qubit states in continuous variable architectures. Our results extend the utility of the QZE beyond discrete systems, highlighting its potential for enhancing quantum control in more complex quantum information processing environments. These findings offer a promising approach for achieving reliable non-Gaussian states in optomechanical systems, with implications for the development of photonic quantum computing and quantum sensing.
Pelka et al. (Thu,) studied this question.