Cyclic networks of quantum gates

In this paper initial steps in an analysis of cyclic networks of quantum logic gates will be given. Cyclic networks are those in which the qubit lines are loops. In our investigations of cyclic networks of quantum gates we have studied one- and two-qubit systems plus two-qubit systems connected to another qubit on an acyclic line. The analysis includes classifying networks into groups, the dynamics of the qubits in the cyclic network, and the perturbation effects of an acyclic qubit acting on a cyclic network of quantum gates. This will be followed by a discussion on quantum algorithms and quantum information processing with cyclic networks of quantum gates. An implementation of a cyclic network quantum memory and quantum sensors via cyclic networks will also be discussed.