Simulation of quantum tunnelling on the IBM quantum computers

Abstract

We study the time evolution of a particle in a double-well potential using IBM quan- tum computers and a classical computer. Firstly, we go over the methods for the numerical sim- ulation and the quantum computer implementation. As an example, we simulate the system in a 4-point space using 2-qubit circuits. Finally, we compare the results obtained with the di erent methods and discuss their dissimilarities and sources of error.