  Electron transfer within and between molecules is crucial in chemistry,
biochemistry, and energy science. This study describes a quantum simulation
method that explores the influence of light polarization on the electron
transfer between two molecules. By implementing precise and coherent control
among the quantum states of trapped atomic ions, we can induce quantum dynamics
that mimic the electron transfer dynamics in molecules. We use $3$-level
systems (qutrits), rather than traditional two-level systems (qubits) to
enhance the simulation efficiency and realize high-fidelity simulations of
electron transfer dynamics. We treat the quantum interference between the
electron coupling pathways from a donor with two degenerate excited states to
an acceptor and analyze the transfer efficiency. We also examine the potential
error sources that enter the quantum simulations. The trapped ion systems have
favorable scalings with system size compared to those of classical computers,
promising access to electron-transfer simulations of increasing richness.
