Time Series Prediction by Quaternionic Qubit Neural Network
Takuya Teguri, Teijiro Isokawa, Nobuyuki Matsui, H. Nishimura, Naotake Kamiura · 2020
We propose a neural network model based on quantum information processing with quaternionic representation and operations, called Quaternionic Qubit Neural Network. The state of a neuron is represented by a point on the Bloch sphere with incorporating quaternionic representation. The operations for this neuron also follow the operations in quaternions. The proposed neural networks are evaluated through numerical experiments for predicting chaotic time series produced by a Lorentz system. They have better performances in predicting long-term series, as compared to conventional (real-valued) neural networks.