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Strongly correlated quantum systems give rise to many exotic physicalphenomena, including high-temperature superconductivity. Simulating thesesystems on quantum computers may avoid the prohibitively high computationalcost incurred in classical approaches. However, systematic errors anddecoherence effects presented in current quantum devices make it difficult toachieve this. Here, we simulate the dynamics of the one-dimensionalFermi-Hubbard model using 16 qubits on a digital superconducting quantumprocessor. We observe separations in the spreading velocities of charge andspin densities in the highly excited regime, a regime that is beyond theconventional quasiparticle picture. To minimize systematic errors, we introducean accurate gate calibration procedure that is fast enough to capture temporaldrifts of the gate parameters. We also employ a sequence of error-mitigationtechniques to reduce decoherence effects and residual systematic errors. Theseprocedures allow us to simulate the time evolution of the model faithfullydespite having over 600 two-qubit gates in our circuits. Our experiment chartsa path to practical quantum simulation of strongly correlated phenomena usingavailable quantum devices.

Observation of separated dynamics of charge and spin in the Fermi-Hubbard model