Abstract: Anti-synchronization of hyperchaotic systems with different structures were studied for combing Quantum Genetic Algorithm(QGA) with feedback anti-synchronization. The parameters of the feedback gain matrix are optimized by the Quantum Genetic Algorithm, which overcomes the difficulty of the parameter tuning in the feedback gain. The numerical simulation experiments show that the quantum genetic algorithm combined with the feedback inverse synchronization method can make the Hyperchaotic Chen system and Lorenz system of the heterogeneous structure quickly achieve the inverse synchronization in a short time, which shows the superiority of the algorithm, and verifies the feasibility and effectiveness of the quantum genetic algorithm in solving the inverse synchronization problem of heterogeneous structures.

Key words: Hyperchaotic system, Chaotic Anti-synchronization, Quantum Genetic Algorithm, Feedback anti-synchronization