Single electron devices are ultra low power and extremely small devices, and suitable for implementation of large scale integrated circuits. An artificial neural network (ANN) is one of the possible applications of single electron devices. We apply stochastic logic in which various complex operations can be done with basic logic gates. We design basic subcircuits of a single electron stochastic neural network, and confirm that backgate bias control and a redundant configuration are necessary for a feedback loop configuration by computer simulation based- on Monte Carlo method. The proposed single electron circuit is well-suited for hardware implementation of a stochastic logic neural network.