Speed up generation of steady-state entanglement with Lyapunov control engineered dissipative ancilla

In this paper, we propose a scheme for speeding up the generation of steady-state entanglement of two interacting qubits by coupling them with an engineered dissipative ancilla. The coupling strength between the target qubits and the ancilla is tailored by state-based Lyapunov control, which vanishes gradually along with the increasing of the fidelity of steady state. The negativity is adopted to measure the bipartite entanglement, which would not be enhanced by such Lyapunov control. In order to speed up and enhance the bipartite entanglement, we further use the non-vanishing engineered coupling. Numerical simulations indicate that the scheme is robust against the fluctuations of the coupling strength and immune to the system parametric errors. The study shows promising performance of speeding up dissipative generation of quantum states with Lyapunov control.