Digital-Analog Quantum Simulation of Fermionic Models

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