Exotic Quantum State Generation

This work introduces a novel approach to generating exotic quantum states. We initiate the process with a vacuum state, proceeding to generate exotic states through a sequence of squeezing and entangling operations. These operations are followed by photon number measurements on an ancillary mode and are repeated as necessary. The optimal parameters are determined through iterative optimization techniques, adjusting the parameters of quantum operations applied to the initial state with the aim of maximizing fidelity with the target quantum state. This iterative refinement process continues until the desired level of fidelity is achieved, ensuring that the generated quantum state closely approximates the target state. Considering the simplicity and straightforward nature of the steps needed to generate the exotic state once optimal parameters are established, we are confident in the significant potential of this approach. To illustrate the effectiveness of this approach in reproducing complex quantum states, we have achieved high fidelity in generating various exotic states, including a 99.33% fidelity for a cat state, 95.60% fidelity for a 4-component cat state, and 99.01% fidelity for a GKP state. Given our success in achieving high fidelities, we will explore the production of Continuous Variable Cluster States in future work.