Dissipative preparation and stabilization of quantum states in superconducting qutrit chains

Dissipative processes contribute novel elements for quantum information processing when controlled and engineered. One of their vital applications is preparing a quantum manybody system into a targeted entangled state. In this talk, we propose a driven-dissipative protocol to stabilize the Affleck-Kennedy-Lieb-Tasaki (AKLT) state, a prototypical example for matrix product states and symmetry protected topological states, in a chain of superconducting qutrits. By having each two nearest neighbor qutrits sharing dispersive interaction with a linear cavity, we realize the autonomous feedback process. Via simulation, we demonstrate and analyze the creation and stabilization of the AKLT state, as well as the performance of the protocol with the system size scaling up.