A Quantum Computing Algorithm for an Ising Model in One and Two Dimensions

We present a quantum computing algorithm designed to model and analyze the Ising model in one and two dimensions in an external magnetic field. The goal of this project is to introduce students at the undergraduate level to the emerging field of quantum computing via a well-studied statistical physics model, the Ising model. We compare the standard Metropolis algorithm to the quantum algorithm implemented in Qiskit and address the advantages of quantum computing in studying statistical physics models. We present results for the relevant quantities such as magnetization, susceptibility, and critical temperature of the system.