The current generation of noisy intermediate scale quantum computers introduces new opportunities to study quantum many-body systems. In this paper, we show that quantum circuits can provide a dramatically more efficient representation than current classical numerics of the quantum states generated under non-equilibrium quantum dynamics. For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers. We benchmark the algorithms by finding the ground state and simulating a global quench of the transverse field Ising model with a longitudinal field on a classical computer. Furthermore, we implement (classically optimized) gates on a quantum processing unit and demonstrate that our algorithm effectively captures real time evolution.
@article{arxiv.2008.10322,
title = {Real- and imaginary-time evolution with compressed quantum circuits},
author = {Sheng-Hsuan Lin and Rohit Dilip and Andrew G. Green and Adam Smith and Frank Pollmann},
journal= {arXiv preprint arXiv:2008.10322},
year = {2021}
}