Quantum simulation costs for Suzuki-Trotter decomposition of quantum many-body lattice models

• URL: http://arxiv.org/abs/2302.04698v2
• Date: Wed, 5 Jul 2023 14:32:50 GMT
• Title: Quantum simulation costs for Suzuki-Trotter decomposition of quantum many-body lattice models
• Authors: Nathan M. Myers, Ryan Scott, Kwon Park, Vito W. Scarola
• Abstract summary: We develop a formalism to compute bounds on the number of Trotter steps needed to accurately simulate the time evolution of fermionic lattice 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 leads to a substantial advantage in favor of the t-J model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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