Some Quantum Neural Networks

We analyzed the classical aritificial neural networks (ANN) and quantum neural networks (QNN), in particular, Boltzmann machines, Hopfield machines, the rules of training quantum neural networks. Then we analyzed the case of implementing the XOR QNN. We proposed to use the Bernstein-Vazirani Algorithm and Grover’s Search Algorithm in QNN. We looked at the problem of least square solutions of the linear regression and proposed to use the quantum Gauss-Jordan Elimination Code to solve the LSP equation. This lets us to make the network works outperform the classical approaches.