One-step implementation of nonadiabatic holonomic fSim gate in superconducting circuits

Due to its significant application in reducing algorithm depth, fSim gates have attracted a lot of attention, while one-step implementation of fSim gates remains an unresolved issue. In this manuscript, we propose a one-step implementation of holonomic fSim gates in a tunable superconducting circuit based on the three lowest energy levels. Numerical simulations demonstrate the feasibility of our scheme. This scheme may provide a promising path toward quantum computation and simulation.