Universal quantum gates, artificial neurons, and pattern recognition simulated by LC resonators

Abstract

We propose to simulate quantum gates by LC resonators, where the amplitude and the phase of the voltage describe the quantum state. By controlling the capacitance or inductance of resonators, it is possible to control the phase of the voltage arbitrarily. A set of resonators acts as the phase-shift, the Hadamard, and the CNOT gates. They constitute a set of universal quantum gates. We also discuss an application to an artificial neuron. As an example, we study pattern recognition of numbers and alphabets by evaluating the similarity between an input and the reference pattern. We also study colored pattern recognition by using a complex neural network.