Quantum operation for one non-Markovian qubit via AC control

This paper studies the simple alternating-current (AC) control strategy for performing quantum state manipulation under a non-Markovian environment (consisting of a cluster of two-level systems). Genetic algorithm is adopted to optimize the parameters of the AC control to fulfil one-qubit quantum operations, such as the NOT gate, the Z gate, and the Hadamard gate. Theoretical analysis and simulations show that our method can keep the Rabi frequency of the system away from the noise band so as to suppress low-frequency 1/f noise. In the meantime, the strategy can also drive the quantum state to the target state with high fidelities.