First quantized, grid-based methods for chemistry modelling are a natural and elegant fit for quantum computers. However, it is infeasible to use today's quantum prototypes to explore the power of this approach, because it requires a significant number of near-perfect qubits. Here we employ exactly-emulated quantum computers with up to 36 qubits, to execute deep yet resource-frugal algorithms that model 2D and 3D atoms with single and paired particles. A range of tasks is explored, from ground state preparation and energy estimation to the dynamics of scattering and ionisation; we evaluate various methods within the split-operator QFT (SO-QFT) Hamiltonian simulation paradigm, including protocols previously-described in theoretical papers as well as our own novel techniques. While we identify certain restrictions and caveats, generally the grid-based method is found to perform very well; our results are consistent with the view that first quantized paradigms will be dominant from the early fault-tolerant quantum computing era onward.
@article{arxiv.2202.05864,
title = {Grid-based methods for chemistry simulations on a quantum computer},
author = {Hans Hon Sang Chan and Richard Meister and Tyson Jones and David P. Tew and Simon C. Benjamin},
journal= {arXiv preprint arXiv:2202.05864},
year = {2023}
}
Comments
Update to reflect published version. 37 pages, 12 figures