Building quantum neural networks based on swap test
Abstract
Artificial neural network, consisting of many neurons in different layers, is an important method to simulate humain brain. Usually, one neuron has two operations: one is linear, the other is nonlinear. The linear operation is inner product and the nonlinear operation is represented by an activation function. In this work, we introduce a kind of quantum neuron whose inputs and outputs are quantum states. The inner product and activation operator of the quantum neurons can be realized by quantum circuits. Based on the quantum neuron, we propose a model of quantum neural network in which the weights between neurons are all quantum states. We also construct a quantum circuit to realize this quantum neural network model. A learning algorithm is proposed meanwhile. We show the validity of learning algorithm theoretically and demonstrate the potential of the quantum neural network numerically.
Cite
@article{arxiv.1904.12697,
title = {Building quantum neural networks based on swap test},
author = {Jian Zhao and Yuan-Hang Zhang and Chang-Peng Shao and Yu-Chun Wu and Guang-Can Guo and Guo-Ping Guo},
journal= {arXiv preprint arXiv:1904.12697},
year = {2019}
}
Comments
10 pages, 13 figures