High fidelity dissipation engineering using parametric interactions

Quantum reservoir engineering provides a versatile framework for quantum state preparation and control, with improved robustness to decoherence. However, established methods for dissipative state preparation typically rely on resolving resonances, limiting the target state fidelity due to a competition between the stabilization mechanism and uncontrolled dissipation. We propose a new framework for engineering dissipation that combines the advantages of static dispersive couplings with strong parametric driving and show how it can realize high fidelity and fast entanglement stabilization devoid of such constraints. In addition, the phase sensitivity of parametric couplings allows arbitrary state preparation and continuous control of the stabilized state within a fixed parity manifold. The proposed protocol is readily accessible with the state-of-the-art superconducting qubit technology and holds promise for fast preparation of large entangled resource states.