  Mixed quantum-classical dynamics is a set of methods often used to understand
systems too complex to treat fully quantum mechanically. Many techniques exist
for full quantum mechanical evolution on quantum computers, but mixed
quantum-classical dynamics are less explored. We present a modular algorithm
for general mixed quantum-classical dynamics where the quantum subsystem is
coupled with the classical subsystem. We test it on a modified Shin-Metiu model
in the first quantization through Ehrenfest propagation. We find that the
Time-Dependent Variational Time Propagation algorithm performs well for
short-time evolutions and retains qualitative results for longer-time
evolutions.
