Optimal control on the transfer of the non-Markovian quantum states

The quantum decoherence induced by the interaction between the quantum system and the environment tends to prevent the quantum system from freely transferring to the target quantum state, which leads to failure of quantum computing or quantum transmission. In this paper, an optimal control scheme is proposed to the quantum state transfer of an open quantum system with the impacts of both decoherence in the non-Markovian environment and the memory effect on the superconducting quantum bits. It is indicated that the state transfer between arbitrary states can be realized with the possibility of more than 90% in the Markov quantum system with extremely low temperature when proper external control is added by the way of an optimal function. As the ambient temperature increases, the state transition probability of success decreases.