Quantum simulation costs for Suzuki-Trotter decomposition of quantum many-body lattice models
| dc.contributor.author | Myers, Nathan M. | en |
| dc.contributor.author | Scott, Ryan | en |
| dc.contributor.author | Park, Kwon | en |
| dc.contributor.author | Scarola, Vito W. | en |
| dc.date.accessioned | 2025-01-17T14:21:42Z | en |
| dc.date.available | 2025-01-17T14:21:42Z | en |
| dc.date.issued | 2023-06-28 | en |
| dc.description.abstract | Quantum computers offer the potential to efficiently simulate the dynamics of quantum systems, a task whose difficulty scales exponentially with system size on classical devices. To assess the potential for near-term quantum computers to simulate many-body systems we develop a formalism to straightforwardly compute bounds on the number of Trotter steps needed to accurately simulate the time evolution of fermionic lattice models based on the first-order commutator scaling. We apply this formalism to two closely related many-body models prominent in condensed matter physics, the Hubbard and t-J models. We find that, while a naive comparison of the Trotter depth first seems to favor the Hubbard model, careful consideration of the model parameters and the allowable error for accurate simulation leads to a substantial advantage in favor of the t-J model. These results and formalism set the stage for significant improvements in quantum simulation costs. | en |
| dc.description.version | Published version | en |
| dc.format.extent | 17 page(s) | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier | ARTN 023199 (Article number) | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevResearch.5.023199 | en |
| dc.identifier.eissn | 2643-1564 | en |
| dc.identifier.issn | 2643-1564 | en |
| dc.identifier.issue | 2 | en |
| dc.identifier.orcid | Myers, Nathan [0000-0002-9903-2859] | en |
| dc.identifier.orcid | Scarola, Vito [0000-0002-8653-2723] | en |
| dc.identifier.uri | https://hdl.handle.net/10919/124240 | en |
| dc.identifier.volume | 5 | en |
| dc.language.iso | en | en |
| dc.publisher | American Physical Society | en |
| dc.rights | Creative Commons Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en |
| dc.title | Quantum simulation costs for Suzuki-Trotter decomposition of quantum many-body lattice models | en |
| dc.title.serial | Physical Review Research | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | en |
| dc.type.other | Article | en |
| dc.type.other | Journal | en |
| pubs.organisational-group | Virginia Tech | en |
| pubs.organisational-group | Virginia Tech/Science | en |
| pubs.organisational-group | Virginia Tech/Science/Physics | en |
| pubs.organisational-group | Virginia Tech/All T&R Faculty | en |
| pubs.organisational-group | Virginia Tech/Science/COS T&R Faculty | en |