Abstract: A chemical system is simulated using a hybrid quantum-classical computing system. The hybrid quantum-classical computing system comprises a classical computing component coupled to a quantum computing component. The hybrid quantum-classical computing system is configured to determine characterizing parameters that describe the chemical system, wherein the characterizing parameters are at least partially based on a chemical structure of the chemical system; generate a operator representation of the chemical system, including single electron excitation operators and double electron excitation operators; and reconfigure an order of occurrence of the single electron excitation operators and the double electron excitation operators in the operator representation as a function of the characterizing parameters. The simulation is executable with a lower count of two-qubit quantum gates used in at least one quantum circuit executable on the quantum computing component that is used to implement the simulation.