Autonomous stabilization with programmable stabilized state

Reservoir engineering is a powerful technique to autonomously stabilize a quantum state. Traditional schemes involving multi-body states typically function for discrete entangle states. In this work, we enhance the stabilization capability to a continuous manifold of states with programmable stabilized state selection BT{from} multiple continuous tuning parameters. We experimentally achieve 84.6% and 82.5% stabilization fidelity for the odd and even-parity Bell states as two special points in the manifold. We also perform fast switching between these opposite parity states within 1.8us and 0.9us by sequentially applying different stabilization drives. Our result is a precursor for new reservoir engineering-based error correction schemes.