Optimize quantum simulation using a force-gradient integrator
Yi-Tong Zou, Yu-Jiao Bo, Ji-Chong Yang · Europhysics Letters (EPL) · 2021
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. By using two applications as examples, we show that the force-gradient decomposition can reduce the number of gate operations up to about a third of those using high-order Trotter decompositions. Therefore, force-gradient decomposition shows a great prospective in future applications of quantum simulation.