Digital-Analog Quantum Simulation of Fermionic Models

Simulating quantum many-body systems is a highly demanding task since the required resources grow exponentially with the dimension of the system. In the case of fermionic systems, this is even harder since nonlocal interactions emerge due to the antisymmetric character of the fermionic wave function. Here, we introduce a digital-analog quantum algorithm to simulate a wide class of fermionic Hamiltonians including the paradigmatic one-dimensional Fermi-Hubbard model. These digital-analog methods allow quantum algorithms to run beyond digital versions via an efficient use of coherence time. Furthermore, we exemplify our techniques with a low-connected architecture for realistic digital-analog implementations of specific fermionic models.

Automated summary

Simulating quantum many-body systems is challenging, especially for fermionic systems due to the emergence of nonlocal interactions. We present a digital-analog quantum algorithm that can simulate a wide range of fermionic Hamiltonians, including the well-known Fermi-Hubbard model. These methods allow quantum algorithms to go beyond digital versions by efficiently utilizing coherence time. Additionally, we demonstrate a low-connected architecture for realistic digital-analog implementations of specific fermionic models.