Research On Two-way Time-delay Synchronization And Identification Of Quantum Networks Based On Dicke And J-C Model

Recently,the synchronization and parameter identification of quantum chaotic systems,arrays and complex networks has been on the rise.The design of a universal and efficient synchronous controller and parameter recognition law not only has good scientific significance,but also has a wide application value in quantum communication,optical information processing and other fields.In this thesis,the quantum chaos model for a variety of typical complex networks,optimization design synchronization controller and parameter identifier,in a limited time,even if the number of nodes and network topology change with time,and bidirectional delay between driving and response networks,also can achieve accurate synchronization and uncertain parameters.The main contents are as follows:First,based on the finite-time stability theory and the Lyapunov function,a general and optimized time-varying complex quantum network complete synchronization controller and the update rule of uncertain parameters are designed.At the same time,Nine Dicke quantum chaos models and nine J-C(Jaynes-Cummings)models with uncertain parameters are selected as nodes to build a small-world network(drive network)and a scale-free network(response network)respectively,and use two random functions as delay quantities,and the synchronization performance of the two networks is studied numerically.Simulation results show that two quantum complex networks in finite time,can quickly achieve complete synchronization,even if the network topology changes with time,little effect on the synchronization performance,and the uncertain parameters in the quantum chaotic system can be accurately identified,proving that the synchronization principle and parameter identification method designed in this chapter is feasible,effective and universal.Secondly,considering the perturbation of the quantum system itself and the interference of the external environmental noise,the synchronization performance between complex quantum networks may be deteriorated.Therefore,we propose a new scheme for quantum network synchronization controller based on sliding mode control techniques,a quantum complex network with universality,and further discuss the influence of perturbation strength and perturbation period on the synchronization performance.Multiple Dicke model and J-C model are still used as nodes to build a star network(driver network)and a global coupled network(response network),respectively,to verify the universality of the designed controller.The simulation results show that complete synchronization can be achieved quickly between two complex quantum networks using the synchronization controller designed in this section.It is also found that when the intensity and period of the simulated interference signal are below the critical point,the threshold value.However,the simulation results also prove that the threshold conditions required for the synchronization performance deterioration are high,which cannot be met in practice,which means that the quantum complex network synchronization scheme proposed in this section is not only feasible and efficient,but also has excellent noise resistance.