Scheme of preparing cluster states with cat qubits

Abstract

Cluster states are essential quantum resources for one-way quantum computations and quantum networks. The reliable generation of cluster states in specific quantum systems is crucial for initializing complex quantum operations. In this paper, we introduce an efficient scheme for the deterministic preparation of a cluster state via circuit QED. Our scheme involves four individual microwave resonators, each coupled to a superconducting transmon qutrit. We demonstrate that the cluster state can be achieved using only three simple controlled-phase gate operations. The cluster state is prepared deterministically, eliminating the need for measurement-based feedback. Throughout these operations, the qutrit remains in its ground state, effectively minimizing decoherence from the qutrit. Numerical simulations suggest that our scheme can produce high-fidelity cluster states using current circuit QED technologies. We believe that our model facilitates the exploration of future large-scale continuous variable quantum information processing systems.