Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device

Abstract

Utilizing quantum computers for real materials calculations is highly promising, but hinges on qubit fidelity and fault-tolerant quantum algorithms. Here, the authors show that a representative model for real materials, the Hubbard-Holstein model, which describes interacting electrons on a lattice coupled to bosonic degrees of freedom, can be reliably investigated using today's Quantum processors. Adapting state-of-the-art mathematical tools is shown to be critical to overcome limitations imposed by the noise level of current quantum computing devices.