Lyapunov-based States Transfer for Open System with Superconducting Qubits

We design control fields to realize states transfer for open quantum system by Lyapunov stability theory, and investigate the states transfer of superconducting qubits in Markovian channels with phase relaxation and energy dissipative relaxation. The numerical simulations indicate that arbitrary state (eigenstate, superposition state or mixed state) transfer and maintenance for Markovian system can be realized under Lyapunov control function by an external steady control field of proper amplitude. Moreover, proper increase of proportional coefficients can accelerate the qubits flip and reduce the vibration frequency of control function.