Effective calculation of the Green's function in the time domain on near-term quantum processors
Quantum Physics
2022-10-21 v1
Abstract
We propose an improved quantum algorithm to calculate the Green's function through real-time propagation, and use it to compute the retarded Green's function for the 2-, 3- and 4-site Hubbard models. This novel protocol significantly reduces the number of controlled operations when compared to those previously suggested in literature. Such reduction is quite remarkable when considering the 2-site Hubbard model, for which we show that it is possible to obtain the exact time propagation of the states by exponentiating one single Pauli component of the Hamiltonian, allowing us to perform the calculations on an actual superconducting quantum processor.
Keywords
Cite
@article{arxiv.2203.12372,
title = {Effective calculation of the Green's function in the time domain on near-term quantum processors},
author = {Francesco Libbi and Jacopo Rizzo and Francesco Tacchino and Nicola Marzari and Ivano Tavernelli},
journal= {arXiv preprint arXiv:2203.12372},
year = {2022}
}