  Quantum simulation has shown great potential in many fields due to its
powerful computational capabilities. However, the limited fidelity can lead to
a severe limitation on the number of gate operations, which requires us to find
optimized algorithms. Trotter decomposition and high order Trotter
decompositions are widely used in quantum simulations. We find that they can be
significantly improved by force gradient integrator in lattice QCD. Therefore,
force gradient decomposition shows a great prospective in future applications
of quantum simulation.
