Recompilation-enhanced simulation of electron–phonon dynamics on IBM quantum computers

Abstract Simulating quantum systems is believed to be one of the first applications for which computers may demonstrate a useful advantage. For many problems in physics, we are interested studying evolution electron–phonon Hamiltonian, efficient digital computing schemes exist. Yet date, no accurate simulation this system has been produced on real hardware. In work, consider absolute resource cost gate-based small as dictated by number Trotter steps and bosonic energy levels necessary convergence dynamics. We then apply these findings perform experiments IBM hardware both weak strong coupling. Despite significant device noise, through use approximate circuit recompilation obtain dynamics current comparable exact diagonalisation. Our results represent step utilising near term highlight novelty tool reducing noise.