Chaotic phenomena in Josephson circuits coupled quantum cellular neural networks

In this paper the nonlinear dynamical behaviour of a quantum cellular neural network (QCNN) by coupling Josephson circuits was investigated and it was shown that the QCNN using only two of them can cause the onset of chaotic oscillation. The theoretical analysis and simulation for the two Josephson-circuits-coupled QCNN have been done by using the amplitude and phase as state variables. The complex chaotic behaviours can be observed and then proved by calculating Lyapunov exponents. The study provides valuable information about QCNNs for future application in high-parallel signal processing and novel chaotic generators.

[1]  Orlando,et al.  Josephson Persistent-Current Qubit , 2022 .

[2]  Quantum cellular neural networks , 1996, cond-mat/0005038.

[3]  Jie Han,et al.  Quantum cellular nonlinear networks using Josephson circuits , 2003, 2003 Third IEEE Conference on Nanotechnology, 2003. IEEE-NANO 2003..

[4]  Seth Lloyd,et al.  Superconducting persistent-current qubit , 1999, cond-mat/9908283.

[5]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[6]  Leon O. Chua,et al.  Practical Numerical Algorithms for Chaotic Systems , 1989 .